110132313212120 has 128 divisors (see below), whose sum is σ = 261495938001600. Its totient is φ = 41629446144000.

The previous prime is 110132313212113. The next prime is 110132313212149. The reversal of 110132313212120 is 21212313231011.

It is a happy number.

It is a super-2 number, since 2×110132313212120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671862170 + ... + 672026070.

Almost surely, 2^{110132313212120} is an apocalyptic number.

110132313212120 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 110132313212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747969000800).

110132313212120 is an abundant number, since it is smaller than the sum of its proper divisors (151363624789480).

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

110132313212120 is a wasteful number, since it uses less digits than its factorization.

110132313212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166149 (or 166145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 110132313212120 its reverse (21212313231011), we get a palindrome (131344626443131).

The spelling of 110132313212120 in words is "one hundred ten trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred twelve thousand, one hundred twenty".