20120977216000 has 80 divisors (see below), whose sum is σ = 50172914408760. Its totient is φ = 8048390860800.

The previous prime is 20120977215961. The next prime is 20120977216007. The reversal of 20120977216000 is 61277902102.

It can be written as a sum of positive squares in 4 ways, for example, as 6381322672384 + 13739654543616 = 2526128^2 + 3706704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20120977216000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20120977216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157131135 + ... + 157259134.

Almost surely, 2^{20120977216000} is an apocalyptic number.

20120977216000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120977216000 is an abundant number, since it is smaller than the sum of its proper divisors (30051937192760).

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

20120977216000 is an frugal number, since it uses more digits than its factorization.

20120977216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314390302 (or 314390276 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 20120977216000 in words is "twenty trillion, one hundred twenty billion, nine hundred seventy-seven million, two hundred sixteen thousand".