2124117336400 has 30 divisors (see below), whose sum is σ = 5103191901662. Its totient is φ = 849646934400.

The previous prime is 2124117336347. The next prime is 2124117336401. The reversal of 2124117336400 is 46337114212.

It can be written as a sum of positive squares in 3 ways, for example, as 596886037056 + 1527231299344 = 772584^2 + 1235812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124117336401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2655146271 + ... + 2655147070.

Almost surely, 2^{2124117336400} is an apocalyptic number.

2124117336400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124117336400 is an abundant number, since it is smaller than the sum of its proper divisors (2979074565262).

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

2124117336400 is a wasteful number, since it uses less digits than its factorization.

2124117336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310293359 (or 5310293348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 2124117336400 in words is "two trillion, one hundred twenty-four billion, one hundred seventeen million, three hundred thirty-six thousand, four hundred".