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112002122001222 = 23323193910351329
BaseRepresentation
bin11001011101110110000110…
…101100100010101101000110
3112200120022001110022110112000
4121131312012230202231012
5104140020321213014342
61034113021534410130
732406612664654245
oct3135660654425506
9480508043273460
10112002122001222
1132761918a869a2
121068a918060946
134a659a735794b
141d92d0856695c
15ce3673b5144c
hex65dd86b22b46

112002122001222 has 128 divisors (see below), whose sum is σ = 261094504550400. Its totient is φ = 35521196654592.

The previous prime is 112002122001191. The next prime is 112002122001247. The reversal of 112002122001222 is 222100221200211.

It is a happy number.

112002122001222 is a `hidden beast` number, since 1 + 1 + 200 + 21 + 220 + 0 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112002122001195 and 112002122001204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2182018054 + ... + 2182069382.

It is an arithmetic number, because the mean of its divisors is an integer number (2039800816800).

Almost surely, 2112002122001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002122001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130547252275200).

112002122001222 is an abundant number, since it is smaller than the sum of its proper divisors (149092382549178).

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

112002122001222 is a wasteful number, since it uses less digits than its factorization.

112002122001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60659 (or 60653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112002122001222 its reverse (222100221200211), we get a palindrome (334102343201433).

The spelling of 112002122001222 in words is "one hundred twelve trillion, two billion, one hundred twenty-two million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 193 207 386 414 579 621 1158 1242 1737 3474 4439 5211 8878 9103 10422 13317 18206 26634 27309 39951 51329 54618 79902 81927 102658 119853 153987 163854 209369 239706 245781 307974 418738 461961 491562 628107 923922 1180567 1256214 1385883 1756879 1884321 2361134 2771766 3513758 3541701 3768642 5270637 5652963 7083402 9906497 10541274 10625103 11305926 15811911 19812994 21250206 29719491 31623822 31875309 40408217 47435733 59438982 63750618 80816434 89158473 94871466 121224651 178316946 227849431 242449302 267475419 363673953 455698862 467247887 534950838 683548293 727347906 934495774 1091021859 1367096586 1401743661 2050644879 2182043718 2803487322 4101289758 4205230983 6151934637 8410461966 10746701401 12303869274 12615692949 21493402802 25231385898 32240104203 64480208406 90178842191 96720312609 180357684382 193440625218 270536526573 290160937827 541073053146 580321875654 811609579719 1623219159438 2074113370393 2434828739157 4148226740786 4869657478314 6222340111179 12444680222358 18667020333537 37334040667074 56001061000611 112002122001222