12658288041000 has 960 divisors, whose sum is σ = 52863616325520. Its totient is φ = 2815092403200.

The previous prime is 12658288040999. The next prime is 12658288041041. The reversal of 12658288041000 is 14088285621.

12658288041000 is a `hidden beast` number, since 1 + 26 + 582 + 8 + 8 + 0 + 41 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26789178276 + 12631498862724 = 163674^2 + 3554082^2 .

It is a super-2 number, since 2×12658288041000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 146809902 + ... + 146896098.

Almost surely, 2^{12658288041000} is an apocalyptic number.

12658288041000 is a gapful number since it is divisible by the number (10) 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 12658288041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431808162760).

12658288041000 is an abundant number, since it is smaller than the sum of its proper divisors (40205328284520).

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

12658288041000 is a wasteful number, since it uses less digits than its factorization.

12658288041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86281 (or 86251 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12658288041000 in words is "twelve trillion, six hundred fifty-eight billion, two hundred eighty-eight million, forty-one thousand".