12667610124288 has 468 divisors, whose sum is σ = 43424942972320. Its totient is φ = 3619263430656.

The previous prime is 12667610124263. The next prime is 12667610124331. The reversal of 12667610124288 is 88242101676621.

12667610124288 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 7 + 610 + 12 + 4 + 2 + 8 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 188083323 + ... + 188150661.

Almost surely, 2^{12667610124288} is an apocalyptic number.

12667610124288 is a gapful number since it is divisible by the number (18) 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 12667610124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712471486160).

12667610124288 is an abundant number, since it is smaller than the sum of its proper divisors (30757332848032).

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

12667610124288 is an frugal number, since it uses more digits than its factorization.

12667610124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67394 (or 67351 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12667610124288 in words is "twelve trillion, six hundred sixty-seven billion, six hundred ten million, one hundred twenty-four thousand, two hundred eighty-eight".