120741106464 has 360 divisors, whose sum is σ = 398665580544. Its totient is φ = 35805369600.

The previous prime is 120741106393. The next prime is 120741106477. The reversal of 120741106464 is 464601147021.

It is a happy number.

120741106464 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 1 + 1 + 0 + 646 + 4 = 666.

120741106464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14736609 + ... + 14744799.

Almost surely, 2^120741106464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120741106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199332790272).

120741106464 is an abundant number, since it is smaller than the sum of its proper divisors (277924474080).

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

120741106464 is a wasteful number, since it uses less digits than its factorization.

120741106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 120741106464 in words is "one hundred twenty billion, seven hundred forty-one million, one hundred six thousand, four hundred sixty-four".