120331122210 has 160 divisors (see below), whose sum is σ = 349029605232. Its totient is φ = 29570365440.

The previous prime is 120331122157. The next prime is 120331122211. The reversal of 120331122210 is 12221133021.

120331122210 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 122 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34811723241 + 85519398969 = 186579^2 + 292437^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120331122211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6487750 + ... + 6506270.

Almost surely, 2^120331122210 is an apocalyptic number.

120331122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120331122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174514802616).

120331122210 is an abundant number, since it is smaller than the sum of its proper divisors (228698483022).

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

120331122210 is a wasteful number, since it uses less digits than its factorization.

120331122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19170 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120331122210 its reverse (12221133021), we get a palindrome (132552255231).

The spelling of 120331122210 in words is "one hundred twenty billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred ten".