12922101504 has 288 divisors, whose sum is σ = 42489036800. Its totient is φ = 3846942720.

The previous prime is 12922101461. The next prime is 12922101509. The reversal of 12922101504 is 40510122921.

12922101504 is a `hidden beast` number, since 129 + 22 + 10 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922101509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783217 + ... + 2787855.

Almost surely, 2^12922101504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12922101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244518400).

12922101504 is an abundant number, since it is smaller than the sum of its proper divisors (29566935296).

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

12922101504 is a wasteful number, since it uses less digits than its factorization.

12922101504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12922101504 in words is "twelve billion, nine hundred twenty-two million, one hundred one thousand, five hundred four".