12620620800 has 792 divisors, whose sum is σ = 50410240800. Its totient is φ = 3085516800.

The previous prime is 12620620777. The next prime is 12620620801. The reversal of 12620620800 is 802602621.

12620620800 is a `hidden beast` number, since 12 + 6 + 20 + 620 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12620620801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407116785 + ... + 407116815.

Almost surely, 2^12620620800 is an apocalyptic number.

12620620800 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 12620620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205120400).

12620620800 is an abundant number, since it is smaller than the sum of its proper divisors (37789620000).

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

12620620800 is a wasteful number, since it uses less digits than its factorization.

12620620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12620620800 in words is "twelve billion, six hundred twenty million, six hundred twenty thousand, eight hundred".