242112120212400 has 60 divisors (see below), whose sum is σ = 775565825084232. Its totient is φ = 64563232056320.

The previous prime is 242112120212393. The next prime is 242112120212453. The reversal of 242112120212400 is 4212021211242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×242112120212400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100880048889 + ... + 100880051288.

Almost surely, 2^{242112120212400} is an apocalyptic number.

242112120212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242112120212400 is an abundant number, since it is smaller than the sum of its proper divisors (533453704871832).

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

242112120212400 is a wasteful number, since it uses less digits than its factorization.

242112120212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201760100198 (or 201760100187 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 242112120212400 its reverse (4212021211242), we get a palindrome (246324141423642).

The spelling of 242112120212400 in words is "two hundred forty-two trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, four hundred".