120037303296 has 231 divisors, whose sum is σ = 360670917313. Its totient is φ = 39912652800.

The previous prime is 120037303289. The next prime is 120037303339. The reversal of 120037303296 is 692303730021.

The square root of 120037303296 is 346464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118842909696 + 1194393600 = 344736^2 + 34560^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120037303296.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 299344696 + ... + 299345096.

Almost surely, 2^120037303296 is an apocalyptic number.

120037303296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120037303296 is the 346464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120037303296

120037303296 is an abundant number, since it is smaller than the sum of its proper divisors (240633614017).

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

120037303296 is an frugal number, since it uses more digits than its factorization.

120037303296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Multiplying 120037303296 by its sum of digits (36), we get a square (4321342918656 = 2078784²).

120037303296 divided by its sum of digits (36) gives a square (3334369536 = 57744²).

The spelling of 120037303296 in words is "one hundred twenty billion, thirty-seven million, three hundred three thousand, two hundred ninety-six".