12277472800 has 36 divisors (see below), whose sum is σ = 29972382426. Its totient is φ = 4910988800.

The previous prime is 12277472791. The next prime is 12277472813. The reversal of 12277472800 is 827477221.

It can be written as a sum of positive squares in 3 ways, for example, as 11666592144 + 610880656 = 108012^2 + 24716^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7672621 + ... + 7674220.

Almost surely, 2^12277472800 is an apocalyptic number.

12277472800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12277472800 is an abundant number, since it is smaller than the sum of its proper divisors (17694909626).

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

12277472800 is a wasteful number, since it uses less digits than its factorization.

12277472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15346861 (or 15346848 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 12277472800 in words is "twelve billion, two hundred seventy-seven million, four hundred seventy-two thousand, eight hundred".