120003311120 has 160 divisors (see below), whose sum is σ = 349417635840. Its totient is φ = 37235473920.

The previous prime is 120003311023. The next prime is 120003311123. The reversal of 120003311120 is 21113300021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120003311095 and 120003311104.

It is not an unprimeable number, because it can be changed into a prime (120003311123) 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, 1330001 + ... + 1417359.

It is an arithmetic number, because the mean of its divisors is an integer number (2183860224).

Almost surely, 2^120003311120 is an apocalyptic number.

120003311120 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 120003311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

120003311120 is an abundant number, since it is smaller than the sum of its proper divisors (229414324720).

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

120003311120 is a wasteful number, since it uses less digits than its factorization.

120003311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87613 (or 87607 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120003311120 its reverse (21113300021), we get a palindrome (141116611141).

The spelling of 120003311120 in words is "one hundred twenty billion, three million, three hundred eleven thousand, one hundred twenty".