2012097721600 has 54 divisors (see below), whose sum is σ = 4980256267070. Its totient is φ = 804839086080.

The previous prime is 2012097721597. The next prime is 2012097721609. The reversal of 2012097721600 is 61277902102.

It can be written as a sum of positive squares in 3 ways, for example, as 149899060224 + 1862198661376 = 387168^2 + 1364624^2 .

It is a super-2 number, since 2×2012097721600² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012097721600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012097721609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157188735 + ... + 157201534.

Almost surely, 2^{2012097721600} is an apocalyptic number.

2012097721600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012097721600 is an abundant number, since it is smaller than the sum of its proper divisors (2968158545470).

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

2012097721600 is an equidigital number, since it uses as much as digits as its factorization.

2012097721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314390295 (or 314390276 counting only the distinct ones).

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

The spelling of 2012097721600 in words is "two trillion, twelve billion, ninety-seven million, seven hundred twenty-one thousand, six hundred".