120124400032 has 144 divisors (see below), whose sum is σ = 296926287840. Its totient is φ = 47416223232.

The previous prime is 120124400003. The next prime is 120124400041. The reversal of 120124400032 is 230004421021.

It is a junction number, because it is equal to n+sod(n) for n = 120124399982 and 120124400009.

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, 9513019 + ... + 9525637.

It is an arithmetic number, because the mean of its divisors is an integer number (2061988110).

Almost surely, 2^120124400032 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 120124400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148463143920).

120124400032 is an abundant number, since it is smaller than the sum of its proper divisors (176801887808).

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

120124400032 is a wasteful number, since it uses less digits than its factorization.

120124400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 120124400032 its reverse (230004421021), we get a palindrome (350128821053).

The spelling of 120124400032 in words is "one hundred twenty billion, one hundred twenty-four million, four hundred thousand, thirty-two".