12738201600 has 288 divisors, whose sum is σ = 42507279360. Its totient is φ = 3364945920.

The previous prime is 12738201551. The next prime is 12738201613. The reversal of 12738201600 is 610283721.

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

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, 19506874 + ... + 19507526.

It is an arithmetic number, because the mean of its divisors is an integer number (147594720).

Almost surely, 2^12738201600 is an apocalyptic number.

12738201600 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 12738201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253639680).

12738201600 is an abundant number, since it is smaller than the sum of its proper divisors (29769077760).

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

12738201600 is a wasteful number, since it uses less digits than its factorization.

12738201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 12738201600 in words is "twelve billion, seven hundred thirty-eight million, two hundred one thousand, six hundred".