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12120200021202 = 23713372677224113
BaseRepresentation
bin1011000001011111010000…
…1101111000010011010010
31120220200100120121211210120
42300113310031320103102
53042034132201134302
641435535405411110
72360440566231060
oct260276415702322
946820316554716
1012120200021202
113953169a368a9
121438b86569a96
1369bc1216aaa0
142dc899711030
1516041a7369bc
hexb05f43784d2

12120200021202 has 128 divisors (see below), whose sum is σ = 30652254657024. Its totient is φ = 3108967723008.

The previous prime is 12120200021197. The next prime is 12120200021203. The reversal of 12120200021202 is 20212000202121.

It is a super-2 number, since 2×121202000212022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120200021203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53968698 + ... + 54192810.

It is an arithmetic number, because the mean of its divisors is an integer number (239470739508).

Almost surely, 212120200021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120200021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326127328512).

12120200021202 is an abundant number, since it is smaller than the sum of its proper divisors (18532054635822).

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

12120200021202 is a wasteful number, since it uses less digits than its factorization.

12120200021202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226852.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12120200021202 its reverse (20212000202121), we get a palindrome (32332200223323).

The spelling of 12120200021202 in words is "twelve trillion, one hundred twenty billion, two hundred million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2677 2886 3367 5354 6734 8031 10101 16062 18739 20202 34801 37478 56217 69602 99049 104403 112434 198098 208806 224113 243607 297147 448226 487214 594294 672339 693343 730821 1287637 1344678 1386686 1461642 1568791 2080029 2575274 2913469 3137582 3862911 4160058 4706373 5826938 7725822 8292181 8740407 9013459 9412746 16584362 17480814 18026918 20394283 24876543 27040377 40788566 49753086 54080754 58045267 61182849 107798353 116090534 122365698 174135801 215596706 323395059 348271602 599950501 646790118 754588471 1199901002 1509176942 1799851503 2263765413 3599703006 4199653507 4527530826 7799356513 8399307014 12598960521 15598713026 22198168537 23398069539 25197921042 44396337074 46796139078 54595495591 66594505611 109190991182 133189011222 155387179759 163786486773 288576190981 310774359518 327572973546 466161539277 577152381962 865728572943 932323078554 1731457145886 2020033336867 4040066673734 6060100010601 12120200021202