120031011222100 has 144 divisors (see below), whose sum is σ = 288810845547840. Its totient is φ = 42934302028800.

The previous prime is 120031011222041. The next prime is 120031011222107. The reversal of 120031011222100 is 1222110130021.

It is a super-2 number, since 2×120031011222100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031011222107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27948171 + ... + 31955629.

It is an arithmetic number, because the mean of its divisors is an integer number (2005630871860).

Almost surely, 2^{120031011222100} is an apocalyptic number.

120031011222100 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 120031011222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144405422773920).

120031011222100 is an abundant number, since it is smaller than the sum of its proper divisors (168779834325740).

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

120031011222100 is a wasteful number, since it uses less digits than its factorization.

120031011222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007930 (or 4007923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120031011222100 its reverse (1222110130021), we get a palindrome (121253121352121).

The spelling of 120031011222100 in words is "one hundred twenty trillion, thirty-one billion, eleven million, two hundred twenty-two thousand, one hundred".