110312212320 has 72 divisors (see below), whose sum is σ = 376440429456. Its totient is φ = 29416589568.

The previous prime is 110312212313. The next prime is 110312212327. The reversal of 110312212320 is 23212213011.

110312212320 is a `hidden beast` number, since 1 + 10 + 312 + 21 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (110312212313) and next prime (110312212327).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 110312212293 and 110312212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312212327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38301412 + ... + 38304291.

It is an arithmetic number, because the mean of its divisors is an integer number (5228339298).

Almost surely, 2^110312212320 is an apocalyptic number.

110312212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110312212320 is an abundant number, since it is smaller than the sum of its proper divisors (266128217136).

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

110312212320 is a wasteful number, since it uses less digits than its factorization.

110312212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76605724 (or 76605713 counting only the distinct ones).

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

Adding to 110312212320 its reverse (23212213011), we get a palindrome (133524425331).

The spelling of 110312212320 in words is "one hundred ten billion, three hundred twelve million, two hundred twelve thousand, three hundred twenty".