12690092800 has 324 divisors, whose sum is σ = 39473997808. Its totient is φ = 3953664000.

The previous prime is 12690092759. The next prime is 12690092813. The reversal of 12690092800 is 829009621.

It is a super-2 number, since 2×12690092800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12690092800.

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, 5419630 + ... + 5421970.

Almost surely, 2^12690092800 is an apocalyptic number.

12690092800 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 12690092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736998904).

12690092800 is an abundant number, since it is smaller than the sum of its proper divisors (26783905008).

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

12690092800 is a wasteful number, since it uses less digits than its factorization.

12690092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 12690092800 in words is "twelve billion, six hundred ninety million, ninety-two thousand, eight hundred".