120412391040 has 192 divisors, whose sum is σ = 416964412800. Its totient is φ = 32019978240.

The previous prime is 120412390979. The next prime is 120412391063. The reversal of 120412391040 is 40193214021.

It is a happy number.

120412391040 is a `hidden beast` number, since 120 + 412 + 3 + 91 + 0 + 40 = 666.

120412391040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 120412390995 and 120412391013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038725 + ... + 2096955.

It is an arithmetic number, because the mean of its divisors is an integer number (2171689650).

Almost surely, 2^120412391040 is an apocalyptic number.

120412391040 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 120412391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208482206400).

120412391040 is an abundant number, since it is smaller than the sum of its proper divisors (296552021760).

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

120412391040 is a wasteful number, since it uses less digits than its factorization.

120412391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58615 (or 58600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 120412391040 in words is "one hundred twenty billion, four hundred twelve million, three hundred ninety-one thousand, forty".