12212380800 has 384 divisors, whose sum is σ = 45145771200. Its totient is φ = 3223756800.

The previous prime is 12212380769. The next prime is 12212380813. The reversal of 12212380800 is 808321221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9244140 + ... + 9245460.

Almost surely, 2^12212380800 is an apocalyptic number.

12212380800 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 12212380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572885600).

12212380800 is an abundant number, since it is smaller than the sum of its proper divisors (32933390400).

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

12212380800 is a wasteful number, since it uses less digits than its factorization.

12212380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12212380800 in words is "twelve billion, two hundred twelve million, three hundred eighty thousand, eight hundred".