120765980196 has 81 divisors (see below), whose sum is σ = 324378099409. Its totient is φ = 37876245888.

The previous prime is 120765980191. The next prime is 120765980201. The reversal of 120765980196 is 691089567021.

The square root of 120765980196 is 347514.

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

It is an interprime number because it is at equal distance from previous prime (120765980191) and next prime (120765980201).

It can be written as a sum of positive squares in only one way, i.e., 94021956900 + 26744023296 = 306630^2 + 163536^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120765980191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35444725 + ... + 35448131.

Almost surely, 2^120765980196 is an apocalyptic number.

120765980196 is the 347514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120765980196

120765980196 is an abundant number, since it is smaller than the sum of its proper divisors (203612119213).

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

120765980196 is an equidigital number, since it uses as much as digits as its factorization.

120765980196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 120765980196 in words is "one hundred twenty billion, seven hundred sixty-five million, nine hundred eighty thousand, one hundred ninety-six".