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112121111001222 = 2337129399808531
BaseRepresentation
bin11001011111100100111010…
…111111100011100010000110
3112200222200012000002221202000
4121133210322333203202012
5104143443013404014342
61034243421033530130
732421324436532631
oct3137447277434206
9480880160087660
10112121111001222
11327a8329194824
12106a99a5273946
134a73c8ac5305b
141d989954dac18
15ce67d9ea144c
hex65f93afe3886

112121111001222 has 64 divisors (see below), whose sum is σ = 253529640645120. Its totient is φ = 36721554357600.

The previous prime is 112121111001217. The next prime is 112121111001227. The reversal of 112121111001222 is 222100111121211.

It is a happy number.

112121111001222 is a `hidden beast` number, since 1 + 121 + 211 + 110 + 0 + 1 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (112121111001217) and next prime (112121111001227).

It is a super-2 number, since 2×1121211110012222 (a number of 29 digits) contains 22 as substring.

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 = 112121111001195 and 112121111001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121111001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48780904 + ... + 51027627.

It is an arithmetic number, because the mean of its divisors is an integer number (3961400635080).

Almost surely, 2112121111001222 is an apocalyptic number.

112121111001222 is an abundant number, since it is smaller than the sum of its proper divisors (141408529643898).

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

112121111001222 is a wasteful number, since it uses less digits than its factorization.

112121111001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99808906 (or 99808900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121111001222 its reverse (222100111121211), we get a palindrome (334221222122433).

The spelling of 112121111001222 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred eleven million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 293 426 586 639 879 1278 1758 1917 2637 3834 5274 7911 15822 20803 41606 62409 124818 187227 374454 561681 1123362 99808531 199617062 299425593 598851186 898276779 1796553558 2694830337 5389660674 7086405701 14172811402 21259217103 29243899583 42518434206 58487799166 63777651309 87731698749 127555302618 175463397498 191332953927 263195096247 382665907854 526390192494 789585288741 1579170577482 2076316870393 4152633740786 6228950611179 12457901222358 18686851833537 37373703667074 56060555500611 112121111001222