2127712765200 has 120 divisors (see below), whose sum is σ = 7435389018336. Its totient is φ = 515809152000.

The previous prime is 2127712765151. The next prime is 2127712765237. The reversal of 2127712765200 is 25672177212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2127712765200² (a number of 25 digits) contains 22 as substring.

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, 80581981 + ... + 80608380.

Almost surely, 2^{2127712765200} is an apocalyptic number.

2127712765200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127712765200 is an abundant number, since it is smaller than the sum of its proper divisors (5307676253136).

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

2127712765200 is a wasteful number, since it uses less digits than its factorization.

2127712765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161190393 (or 161190382 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 2127712765200 in words is "two trillion, one hundred twenty-seven billion, seven hundred twelve million, seven hundred sixty-five thousand, two hundred".