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121002332211222 = 23711379091778643
BaseRepresentation
bin11011100000110100001101…
…000001110100100000010110
3120212102201011120200001202220
4123200310031001310200112
5111330000234021224342
61105203412022443210
734326062410332630
oct3340641501644026
9525381146601686
10121002332211222
113561188a0109a0
12116a3090293506
135269617937c47
1421c478912ba50
15dec835a025ec
hex6e0d0d074816

121002332211222 has 128 divisors (see below), whose sum is σ = 309909182312448. Its totient is φ = 30576336969600.

The previous prime is 121002332211221. The next prime is 121002332211251. The reversal of 121002332211222 is 222112233200121.

It is a junction number, because it is equal to n+sod(n) for n = 121002332211192 and 121002332211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002332211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155012233 + ... + 155790875.

It is an arithmetic number, because the mean of its divisors is an integer number (2421165486816).

Almost surely, 2121002332211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002332211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154954591156224).

121002332211222 is an abundant number, since it is smaller than the sum of its proper divisors (188906850101226).

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

121002332211222 is a wasteful number, since it uses less digits than its factorization.

121002332211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787794.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121002332211222 its reverse (222112233200121), we get a palindrome (343114565411343).

The spelling of 121002332211222 in words is "one hundred twenty-one trillion, two billion, three hundred thirty-two million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 5698 8547 9091 17094 18182 27273 54546 63637 100001 127274 190911 200002 300003 336367 381822 600006 672734 700007 778643 1009101 1400014 1557286 2018202 2100021 2335929 2354569 3700037 4200042 4671858 4709138 5450501 7063707 7400074 8565073 10901002 11100111 14127414 16351503 17130146 22200222 25695219 25900259 28809791 32703006 51390438 51800518 57619582 59955511 77700777 86429373 119911022 155401554 172858746 179866533 201668537 316907701 359733066 403337074 605005611 633815402 950723103 1210011222 1901446206 2218353907 4436707814 6655061721 7078643513 13310123442 14157287026 21235930539 42471861078 49550504591 77865078643 99101009182 148651513773 155730157286 233595235929 261909809981 297303027546 467190471858 523819619962 545055550501 785729429943 1090111101002 1571458859886 1635166651503 1833368669867 2881007909791 3270333303006 3666737339734 5500106009601 5762015819582 8643023729373 11000212019202 17286047458746 20167055368537 40334110737074 60501166105611 121002332211222