12920868900 has 189 divisors, whose sum is σ = 42138288003. Its totient is φ = 3437380800.

The previous prime is 12920868871. The next prime is 12920868923. The reversal of 12920868900 is 986802921.

The square root of 12920868900 is 113670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7399784484 + 5521084416 = 86022^2 + 74304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30690690 + ... + 30691110.

Almost surely, 2^12920868900 is an apocalyptic number.

12920868900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12920868900 is the 113670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12920868900

12920868900 is an abundant number, since it is smaller than the sum of its proper divisors (29217419103).

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

12920868900 is an frugal number, since it uses more digits than its factorization.

12920868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12920868900 in words is "twelve billion, nine hundred twenty million, eight hundred sixty-eight thousand, nine hundred".