120242749536 has 1152 divisors, whose sum is σ = 468236160000. Its totient is φ = 29819446272.

The previous prime is 120242749493. The next prime is 120242749541. The reversal of 120242749536 is 635947242021.

120242749536 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 42 + 74 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120242749491 and 120242749500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2038012675 + ... + 2038012733.

It is an arithmetic number, because the mean of its divisors is an integer number (406455000).

Almost surely, 2^120242749536 is an apocalyptic number.

120242749536 is a gapful number since it is divisible by the number (16) 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 120242749536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234118080000).

120242749536 is an abundant number, since it is smaller than the sum of its proper divisors (347993410464).

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

120242749536 is a wasteful number, since it uses less digits than its factorization.

120242749536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 120242749536 in words is "one hundred twenty billion, two hundred forty-two million, seven hundred forty-nine thousand, five hundred thirty-six".