242120513336000 has 112 divisors (see below), whose sum is σ = 645735409344480. Its totient is φ = 89398343347200.

The previous prime is 242120513335997. The next prime is 242120513336027. The reversal of 242120513336000 is 633315021242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163936930 + ... + 1164144929.

It is an arithmetic number, because the mean of its divisors is an integer number (5765494726290).

Almost surely, 2^{242120513336000} is an apocalyptic number.

242120513336000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242120513336000 is an abundant number, since it is smaller than the sum of its proper divisors (403614896008480).

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

242120513336000 is a wasteful number, since it uses less digits than its factorization.

242120513336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328081899 (or 2328081879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 242120513336000 its reverse (633315021242), we get a palindrome (242753828357242).

The spelling of 242120513336000 in words is "two hundred forty-two trillion, one hundred twenty billion, five hundred thirteen million, three hundred thirty-six thousand".