12667157914140 has 192 divisors, whose sum is σ = 40302465477120. Its totient is φ = 3302090288640.

The previous prime is 12667157914123. The next prime is 12667157914199. The reversal of 12667157914140 is 4141975176621.

12667157914140 is a `hidden beast` number, since 1 + 2 + 6 + 67 + 1 + 579 + 1 + 4 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×12667157914140² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3403264 + ... + 6075896.

It is an arithmetic number, because the mean of its divisors is an integer number (209908674360).

Almost surely, 2^{12667157914140} is an apocalyptic number.

12667157914140 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 12667157914140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151232738560).

12667157914140 is an abundant number, since it is smaller than the sum of its proper divisors (27635307562980).

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

12667157914140 is a wasteful number, since it uses less digits than its factorization.

12667157914140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672849 (or 2672841 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12667157914140 in words is "twelve trillion, six hundred sixty-seven billion, one hundred fifty-seven million, nine hundred fourteen thousand, one hundred forty".