12922291200 has 792 divisors, whose sum is σ = 53815597248. Its totient is φ = 2663055360.

The previous prime is 12922291199. The next prime is 12922291201. The reversal of 12922291200 is 219222921.

It is an interprime number because it is at equal distance from previous prime (12922291199) and next prime (12922291201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12922291201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300518379 + ... + 300518421.

Almost surely, 2^12922291200 is an apocalyptic number.

12922291200 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 12922291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26907798624).

12922291200 is an abundant number, since it is smaller than the sum of its proper divisors (40893306048).

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

12922291200 is a wasteful number, since it uses less digits than its factorization.

12922291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12922291200 in words is "twelve billion, nine hundred twenty-two million, two hundred ninety-one thousand, two hundred".