12021760400 has 120 divisors (see below), whose sum is σ = 31145418024. Its totient is φ = 4432896000.

The previous prime is 12021760397. The next prime is 12021760403. The reversal of 12021760400 is 406712021.

It is an interprime number because it is at equal distance from previous prime (12021760397) and next prime (12021760403).

It can be written as a sum of positive squares in 12 ways, for example, as 9544508416 + 2477251984 = 97696^2 + 49772^2 .

It is not an unprimeable number, because it can be changed into a prime (12021760403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6764312 + ... + 6766088.

Almost surely, 2^12021760400 is an apocalyptic number.

12021760400 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 12021760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572709012).

12021760400 is an abundant number, since it is smaller than the sum of its proper divisors (19123657624).

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

12021760400 is a wasteful number, since it uses less digits than its factorization.

12021760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 12021760400 in words is "twelve billion, twenty-one million, seven hundred sixty thousand, four hundred".