120120114412560 has 160 divisors (see below), whose sum is σ = 377629883212032. Its totient is φ = 31579800698880.

The previous prime is 120120114412531. The next prime is 120120114412561. The reversal of 120120114412560 is 65214411021021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120120114412561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584318112 + ... + 584523648.

Almost surely, 2^{120120114412560} is an apocalyptic number.

120120114412560 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 120120114412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188814941606016).

120120114412560 is an abundant number, since it is smaller than the sum of its proper divisors (257509768799472).

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

120120114412560 is a wasteful number, since it uses less digits than its factorization.

120120114412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239921 (or 239915 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 120120114412560 its reverse (65214411021021), we get a palindrome (185334525433581).

The spelling of 120120114412560 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred fourteen million, four hundred twelve thousand, five hundred sixty".