12200781600 has 1152 divisors, whose sum is σ = 55196467200. Its totient is φ = 2538086400.

The previous prime is 12200781583. The next prime is 12200781613. The reversal of 12200781600 is 618700221.

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 191 ways as a sum of consecutive naturals, for example, 89056732 + ... + 89056868.

It is an arithmetic number, because the mean of its divisors is an integer number (47913600).

Almost surely, 2^12200781600 is an apocalyptic number.

12200781600 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 12200781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27598233600).

12200781600 is an abundant number, since it is smaller than the sum of its proper divisors (42995685600).

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

12200781600 is a wasteful number, since it uses less digits than its factorization.

12200781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12200781600 in words is "twelve billion, two hundred million, seven hundred eighty-one thousand, six hundred".