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12210034213134 = 2325925145805607
BaseRepresentation
bin1011000110101101111011…
…0000001000000100001110
31121020021020021111122000100
42301223132300020010032
53100022122224310014
641545113504111530
72400101013245142
oct261533660100416
947207207448010
1012210034213134
113988278aa892a
1214524779055a6
136a752a817a84
14302d7c5ab222
15162927260009
hexb1adec0810e

12210034213134 has 48 divisors (see below), whose sum is σ = 27010650925440. Its totient is φ = 3985087722000.

The previous prime is 12210034213099. The next prime is 12210034213243. The reversal of 12210034213134 is 43131243001221.

12210034213134 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 0 + 342 + 1 + 313 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12210034213098 and 12210034213107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22636242 + ... + 23169365.

It is an arithmetic number, because the mean of its divisors is an integer number (562721894280).

Almost surely, 212210034213134 is an apocalyptic number.

12210034213134 is an abundant number, since it is smaller than the sum of its proper divisors (14800616712306).

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

12210034213134 is a wasteful number, since it uses less digits than its factorization.

12210034213134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45805925 (or 45805922 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12210034213134 its reverse (43131243001221), we get a palindrome (55341277214355).

The spelling of 12210034213134 in words is "twelve trillion, two hundred ten billion, thirty-four million, two hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 59 118 177 251 354 502 531 753 1062 1506 2259 4518 14809 29618 44427 88854 133281 266562 45805607 91611214 137416821 274833642 412250463 824500926 2702530813 5405061626 8107592439 11497207357 16215184878 22994414714 24322777317 34491622071 48645554634 68983244142 103474866213 206949732426 678335234063 1356670468126 2035005702189 4070011404378 6105017106567 12210034213134