120311113000 has 128 divisors (see below), whose sum is σ = 308906226720. Its totient is φ = 43584153600.

The previous prime is 120311112983. The next prime is 120311113003. The reversal of 120311113000 is 311113021.

It can be written as a sum of positive squares in 16 ways, for example, as 13064032804 + 107247080196 = 114298^2 + 327486^2 .

It is a super-2 number, since 2×120311113000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120311113003) 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, 601692 + ... + 776308.

Almost surely, 2^120311113000 is an apocalyptic number.

120311113000 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 120311113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154453113360).

120311113000 is an abundant number, since it is smaller than the sum of its proper divisors (188595113720).

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

120311113000 is a wasteful number, since it uses less digits than its factorization.

120311113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174704 (or 174690 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 120311113000 its reverse (311113021), we get a palindrome (120622226021).

The spelling of 120311113000 in words is "one hundred twenty billion, three hundred eleven million, one hundred thirteen thousand".