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12215285172 = 2232569691863
BaseRepresentation
bin10110110000001011…
…00111010110110100
31011112022012210002100
423120011213112310
5200004103111142
65340035542100
7611464132206
oct133005472664
934468183070
1012215285172
1151a9234602
12244aa5a930
1311c89411bc
1483c45c776
154b75e8b4c
hex2d81675b4

12215285172 has 72 divisors (see below), whose sum is σ = 31012450560. Its totient is φ = 4054020480.

The previous prime is 12215285171. The next prime is 12215285209. The reversal of 12215285172 is 27158251221.

12215285172 is a `hidden beast` number, since 12 + 2 + 1 + 528 + 51 + 72 = 666.

12215285172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12215285171) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14154013 + ... + 14154875.

It is an arithmetic number, because the mean of its divisors is an integer number (430728480).

Almost surely, 212215285172 is an apocalyptic number.

12215285172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12215285172 is an abundant number, since it is smaller than the sum of its proper divisors (18797165388).

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

12215285172 is a wasteful number, since it uses less digits than its factorization.

12215285172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2128 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The spelling of 12215285172 in words is "twelve billion, two hundred fifteen million, two hundred eighty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 569 691 863 1138 1382 1707 1726 2073 2276 2589 2764 3414 3452 4146 5121 5178 6219 6828 7767 8292 10242 10356 12438 15534 20484 24876 31068 393179 491047 596333 786358 982094 1179537 1192666 1473141 1572716 1788999 1964188 2359074 2385332 2946282 3538611 3577998 4419423 4718148 5366997 5892564 7077222 7155996 8838846 10733994 14154444 17677692 21467988 339313477 678626954 1017940431 1357253908 2035880862 3053821293 4071761724 6107642586 12215285172