12922022400 has 240 divisors, whose sum is σ = 48786264384. Its totient is φ = 2953543680.

The previous prime is 12922022387. The next prime is 12922022459. The reversal of 12922022400 is 422022921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12922022400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244764 + ... + 292836.

Almost surely, 2^12922022400 is an apocalyptic number.

12922022400 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 12922022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393132192).

12922022400 is an abundant number, since it is smaller than the sum of its proper divisors (35864241984).

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

12922022400 is an equidigital number, since it uses as much as digits as its factorization.

12922022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48111 (or 48090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 12922022400 in words is "twelve billion, nine hundred twenty-two million, twenty-two thousand, four hundred".