242025261120 has 224 divisors, whose sum is σ = 890934301440. Its totient is φ = 61733928960.

The previous prime is 242025261119. The next prime is 242025261199. The reversal of 242025261120 is 21162520242.

242025261120 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 25 + 2 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410241 + ... + 807680.

Almost surely, 2^242025261120 is an apocalyptic number.

242025261120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242025261120 is an abundant number, since it is smaller than the sum of its proper divisors (648909040320).

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

242025261120 is a wasteful number, since it uses less digits than its factorization.

242025261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217970 (or 1217954 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242025261120 its reverse (21162520242), we get a palindrome (263187781362).

The spelling of 242025261120 in words is "two hundred forty-two billion, twenty-five million, two hundred sixty-one thousand, one hundred twenty".