120497359752 has 512 divisors, whose sum is σ = 429782630400. Its totient is φ = 30376684800.

The previous prime is 120497359727. The next prime is 120497359771. The reversal of 120497359752 is 257953794021.

120497359752 is a `hidden beast` number, since 1 + 2 + 0 + 49 + 7 + 3 + 597 + 5 + 2 = 666.

It is a super-2 number, since 2×120497359752² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79117663 + ... + 79119185.

It is an arithmetic number, because the mean of its divisors is an integer number (839419200).

Almost surely, 2^120497359752 is an apocalyptic number.

120497359752 is a gapful number since it is divisible by the number (12) 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 120497359752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214891315200).

120497359752 is an abundant number, since it is smaller than the sum of its proper divisors (309285270648).

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

120497359752 is a wasteful number, since it uses less digits than its factorization.

120497359752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

It can be divided in two parts, 120497 and 359752, that added together give a square (480249 = 693²).

The spelling of 120497359752 in words is "one hundred twenty billion, four hundred ninety-seven million, three hundred fifty-nine thousand, seven hundred fifty-two".