120714472794240 has 1536 divisors, whose sum is σ = 496240313587200. Its totient is φ = 26753843331072.

The previous prime is 120714472794233. The next prime is 120714472794269. The reversal of 120714472794240 is 42497274417021.

120714472794240 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 144 + 7 + 2 + 79 + 424 + 0 = 666.

It is a super-2 number, since 2×120714472794240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5137430172 + ... + 5137453668.

It is an arithmetic number, because the mean of its divisors is an integer number (323073120825).

Almost surely, 2^{120714472794240} is an apocalyptic number.

120714472794240 is a gapful number since it is divisible by the number (10) 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 120714472794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120156793600).

120714472794240 is an abundant number, since it is smaller than the sum of its proper divisors (375525840792960).

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

120714472794240 is a wasteful number, since it uses less digits than its factorization.

120714472794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23734 (or 23719 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 120714472794240 in words is "one hundred twenty trillion, seven hundred fourteen billion, four hundred seventy-two million, seven hundred ninety-four thousand, two hundred forty".