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121221001202000 = 2453747291830967
BaseRepresentation
bin11011100011111111110110…
…101101110100100101010000
3120220012121120222221202010012
4123203333312231310211100
5111342041102301431000
61105452054214054052
734350633262152320
oct3343776655644520
9526177528852105
10121221001202000
11356965a0a54197
121171953804a328
13528412595a60b
1421d11b0821280
15e03382e29735
hex6e3ff6b74950

121221001202000 has 160 divisors (see below), whose sum is σ = 335056597624320. Its totient is φ = 41552674790400.

The previous prime is 121221001201999. The next prime is 121221001202053. The reversal of 121221001202000 is 202100122121.

It is a super-2 number, since 2×1212210012020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65290517 + ... + 67121483.

It is an arithmetic number, because the mean of its divisors is an integer number (2094103735152).

Almost surely, 2121221001202000 is an apocalyptic number.

121221001202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167528298812160).

121221001202000 is an abundant number, since it is smaller than the sum of its proper divisors (213835596422320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221001202000 is a wasteful number, since it uses less digits than its factorization.

121221001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835726 (or 1835710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121221001202000 its reverse (202100122121), we get a palindrome (121423101324121).

The spelling of 121221001202000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 4729 7000 9458 14000 18916 23645 33103 37832 47290 66206 75664 94580 118225 132412 165515 189160 236450 264824 331030 378320 472900 529648 591125 662060 827575 945800 1182250 1324120 1655150 1830967 1891600 2364500 2648240 3310300 3661934 4137875 4729000 6620600 7323868 8275750 9154835 9458000 12816769 13241200 14647736 16551500 18309670 25633538 29295472 33103000 36619340 45774175 51267076 64083845 66206000 73238680 91548350 102534152 128167690 146477360 183096700 205068304 228870875 256335380 320419225 366193400 457741750 512670760 640838450 732386800 915483500 1025341520 1281676900 1602096125 1830967000 2563353800 3204192250 3661934000 5126707600 6408384500 8658642943 12816769000 17317285886 25633538000 34634571772 43293214715 60610500601 69269143544 86586429430 121221001202 138538287088 173172858860 216466073575 242442002404 303052503005 346345717720 432932147150 484884004808 606105006010 692691435440 865864294300 969768009616 1082330367875 1212210012020 1515262515025 1731728588600 2164660735750 2424420024040 3030525030050 3463457177200 4329321471500 4848840048080 6061050060100 7576312575125 8658642943000 12122100120200 15152625150250 17317285886000 24244200240400 30305250300500 60610500601000 121221001202000