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12120031001322 = 234733351729021
BaseRepresentation
bin1011000001011110101000…
…1001000111101011101010
31120220122220210120202010000
42300113222021013223222
53042033310414020242
641435510531003430
72360433444463536
oct260275211075352
946818823522100
1012120031001322
113953092593752
121438b39a39576
1369bbb613c91a
142dc8810b4bc6
1516040a99ba4c
hexb05ea247aea

12120031001322 has 80 divisors (see below), whose sum is σ = 27203567269032. Its totient is φ = 4033212600960.

The previous prime is 12120031001321. The next prime is 12120031001333. The reversal of 12120031001322 is 22310013002121.

12120031001322 is a `hidden beast` number, since 1 + 21 + 200 + 310 + 0 + 132 + 2 = 666.

12120031001322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8857343824641 + 3262687176681 = 2976129^2 + 1806291^2 .

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 = 12120031001295 and 12120031001304.

It is not an unprimeable number, because it can be changed into a prime (12120031001321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417615172 + ... + 417644192.

Almost surely, 212120031001322 is an apocalyptic number.

12120031001322 is an abundant number, since it is smaller than the sum of its proper divisors (15083536267710).

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

12120031001322 is a wasteful number, since it uses less digits than its factorization.

12120031001322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33285 (or 33276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12120031001322 its reverse (22310013002121), we get a palindrome (34430044003443).

The spelling of 12120031001322 in words is "twelve trillion, one hundred twenty billion, thirty-one million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 733 1466 2199 3517 4398 6597 7034 10551 13194 19791 21102 29021 31653 39582 58042 59373 63306 87063 94959 118746 174126 189918 261189 284877 522378 569754 783567 1567134 2350701 2577961 4701402 5155922 7733883 15467766 21272393 23201649 42544786 46403298 63817179 69604947 102066857 127634358 139209894 191451537 204133714 208814841 306200571 382903074 417629682 574354611 612401142 918601713 1148709222 1723063833 1837203426 2755805139 3446127666 5511610278 8267415417 16534830834 74815006181 149630012362 224445018543 448890037086 673335055629 1346670111258 2020005166887 4040010333774 6060015500661 12120031001322