120046407936 has 576 divisors, whose sum is σ = 421960089600. Its totient is φ = 29398007808.

The previous prime is 120046407911. The next prime is 120046407959. The reversal of 120046407936 is 639704640021.

It is a super-2 number, since 2×120046407936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93858945 + ... + 93860223.

It is an arithmetic number, because the mean of its divisors is an integer number (732569600).

Almost surely, 2^120046407936 is an apocalyptic number.

120046407936 is a gapful number since it is divisible by the number (16) 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 120046407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210980044800).

120046407936 is an abundant number, since it is smaller than the sum of its proper divisors (301913681664).

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

120046407936 is a wasteful number, since it uses less digits than its factorization.

120046407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 120046407936 in words is "one hundred twenty billion, forty-six million, four hundred seven thousand, nine hundred thirty-six".