12216572400 has 120 divisors (see below), whose sum is σ = 39685209984. Its totient is φ = 3211846400.

The previous prime is 12216572363. The next prime is 12216572441. The reversal of 12216572400 is 427561221.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13507 + ... + 156893.

Almost surely, 2^12216572400 is an apocalyptic number.

12216572400 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 12216572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842604992).

12216572400 is an abundant number, since it is smaller than the sum of its proper divisors (27468637584).

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

12216572400 is a wasteful number, since it uses less digits than its factorization.

12216572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143479 (or 143468 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 12216572400 in words is "twelve billion, two hundred sixteen million, five hundred seventy-two thousand, four hundred".