242616991120 has 160 divisors (see below), whose sum is σ = 656578690560. Its totient is φ = 81656279040.

The previous prime is 242616991093. The next prime is 242616991153. The reversal of 242616991120 is 21199616242.

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, 9250986 + ... + 9277174.

It is an arithmetic number, because the mean of its divisors is an integer number (4103616816).

Almost surely, 2^242616991120 is an apocalyptic number.

242616991120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242616991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328289345280).

242616991120 is an abundant number, since it is smaller than the sum of its proper divisors (413961699440).

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

242616991120 is a wasteful number, since it uses less digits than its factorization.

242616991120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26513 (or 26507 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 242616991120 in words is "two hundred forty-two billion, six hundred sixteen million, nine hundred ninety-one thousand, one hundred twenty".