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12888669132 = 223467677877
BaseRepresentation
bin11000000000011100…
…10111101111001100
31020021020022020020000
430000032113233030
5202343444403012
65530532524300
7634251610563
oct140016275714
936236266200
1012888669132
115514354979
1225b8480690
1312a52c1951
148a3a68bda
155067aeddc
hex300397bcc

12888669132 has 120 divisors (see below), whose sum is σ = 34285977264. Its totient is φ = 4221030528.

The previous prime is 12888669127. The next prime is 12888669257. The reversal of 12888669132 is 23196688821.

It is a super-2 number, since 2×128886691322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14695878 + ... + 14696754.

Almost surely, 212888669132 is an apocalyptic number.

12888669132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12888669132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142988632).

12888669132 is an abundant number, since it is smaller than the sum of its proper divisors (21397308132).

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

12888669132 is a wasteful number, since it uses less digits than its factorization.

12888669132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12888669132 in words is "twelve billion, eight hundred eighty-eight million, six hundred sixty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 677 804 877 1206 1354 1754 1809 2031 2412 2631 2708 3508 3618 4062 5262 5427 6093 7236 7893 8124 10524 10854 12186 15786 18279 21708 23679 24372 31572 36558 45359 47358 54837 58759 71037 73116 90718 94716 109674 117518 136077 142074 176277 181436 219348 235036 272154 284148 352554 408231 528831 544308 593729 705108 816462 1057662 1187458 1224693 1586493 1632924 1781187 2115324 2374916 2449386 3172986 3562374 3674079 4759479 4898772 5343561 6345972 7124748 7348158 9518958 10687122 14696316 16030683 19037916 21374244 32061366 39779843 48092049 64122732 79559686 96184098 119339529 159119372 192368196 238679058 358018587 477358116 716037174 1074055761 1432074348 2148111522 3222167283 4296223044 6444334566 12888669132