120111031130000 has 100 divisors (see below), whose sum is σ = 293680035952908. Its totient is φ = 47568724800000.

The previous prime is 120111031129987. The next prime is 120111031130071. The reversal of 120111031130000 is 31130111021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 35135303670016 + 84975727459984 = 5927504^2 + 9218228^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×120111031130000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58450907 + ... + 60470906.

Almost surely, 2^{120111031130000} is an apocalyptic number.

120111031130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120111031130000 is an abundant number, since it is smaller than the sum of its proper divisors (173569004822908).

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

120111031130000 is a wasteful number, since it uses less digits than its factorization.

120111031130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118921942 (or 118921921 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 120111031130000 its reverse (31130111021), we get a palindrome (120142161241021).

The spelling of 120111031130000 in words is "one hundred twenty trillion, one hundred eleven billion, thirty-one million, one hundred thirty thousand".