120357126252 has 288 divisors, whose sum is σ = 357711681600. Its totient is φ = 33717288960.

The previous prime is 120357126203. The next prime is 120357126289. The reversal of 120357126252 is 252621753021.

120357126252 is a `hidden beast` number, since 1 + 20 + 3 + 5 + 7 + 1 + 2 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97296978 + ... + 97298214.

It is an arithmetic number, because the mean of its divisors is an integer number (1242054450).

Almost surely, 2^120357126252 is an apocalyptic number.

120357126252 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 120357126252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178855840800).

120357126252 is an abundant number, since it is smaller than the sum of its proper divisors (237354555348).

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

120357126252 is a wasteful number, since it uses less digits than its factorization.

120357126252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 120357126252 its reverse (252621753021), we get a palindrome (372978879273).

The spelling of 120357126252 in words is "one hundred twenty billion, three hundred fifty-seven million, one hundred twenty-six thousand, two hundred fifty-two".