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12225255108 = 223113114920051
BaseRepresentation
bin10110110001010111…
…01001011011000100
31011112222222022021020
423120223221123010
5200014131130413
65341033351140
7611644645113
oct133053513304
934488868236
1012225255108
115203924120
1224522684b0
1311caa22181
1483d8d5c7a
154b8417c23
hex2d8ae96c4

12225255108 has 96 divisors (see below), whose sum is σ = 32339865600. Its totient is φ = 3560880000.

The previous prime is 12225255089. The next prime is 12225255127. The reversal of 12225255108 is 80155252221.

12225255108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12225255089) and next prime (12225255127).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599683 + ... + 619733.

It is an arithmetic number, because the mean of its divisors is an integer number (336873600).

Almost surely, 212225255108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225255108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169932800).

12225255108 is an abundant number, since it is smaller than the sum of its proper divisors (20114610492).

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

12225255108 is a wasteful number, since it uses less digits than its factorization.

12225255108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249 (or 20247 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 12225255108 in words is "twelve billion, two hundred twenty-five million, two hundred fifty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 149 186 298 341 372 447 596 682 894 1023 1364 1639 1788 2046 3278 4092 4619 4917 6556 9238 9834 13857 18476 19668 20051 27714 40102 50809 55428 60153 80204 101618 120306 152427 203236 220561 240612 304854 441122 609708 621581 661683 882244 1243162 1323366 1864743 2486324 2646732 2987599 3729486 5975198 6837391 7458972 8962797 11950396 13674782 17925594 20512173 27349564 32863589 35851188 41024346 65727178 82048692 92615569 98590767 131454356 185231138 197181534 277846707 370462276 394363068 555693414 1018771259 1111386828 2037542518 3056313777 4075085036 6112627554 12225255108