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12225564036 = 2233755729033
BaseRepresentation
bin10110110001011001…
…10100110110000100
31011120000120000001000
423120230310312010
5200014221022121
65341044133300
7611650402560
oct133054646604
934500500030
1012225564036
115204015234
122452397230
1311caacc97a
1483d9766a0
154b8479526
hex2d8b34d84

12225564036 has 96 divisors (see below), whose sum is σ = 36290177280. Its totient is φ = 3486627072.

The previous prime is 12225563969. The next prime is 12225564061. The reversal of 12225564036 is 63046552221.

12225564036 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 5 + 5 + 640 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406576 + ... + 435608.

It is an arithmetic number, because the mean of its divisors is an integer number (378022680).

Almost surely, 212225564036 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 12225564036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145088640).

12225564036 is an abundant number, since it is smaller than the sum of its proper divisors (24064613244).

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

12225564036 is a wasteful number, since it uses less digits than its factorization.

12225564036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29610 (or 29602 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12225564036 in words is "twelve billion, two hundred twenty-five million, five hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 557 756 1114 1671 2228 3342 3899 5013 6684 7798 10026 11697 15039 15596 20052 23394 29033 30078 35091 46788 58066 60156 70182 87099 105273 116132 140364 174198 203231 210546 261297 348396 406462 421092 522594 609693 783891 812924 1045188 1219386 1567782 1829079 2438772 3135564 3658158 5487237 7316316 10974474 16171381 21948948 32342762 48514143 64685524 97028286 113199667 145542429 194056572 226399334 291084858 339599001 436627287 452798668 582169716 679198002 873254574 1018797003 1358396004 1746509148 2037594006 3056391009 4075188012 6112782018 12225564036