110132212320 has 1152 divisors, whose sum is σ = 439378587648. Its totient is φ = 24927436800.

The previous prime is 110132212319. The next prime is 110132212331. The reversal of 110132212320 is 23212231011.

110132212320 is a `hidden beast` number, since 1 + 1 + 0 + 132 + 212 + 320 = 666.

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 = 110132212293 and 110132212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1551157885 + ... + 1551157955.

It is an arithmetic number, because the mean of its divisors is an integer number (381405024).

Almost surely, 2^110132212320 is an apocalyptic number.

110132212320 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 110132212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219689293824).

110132212320 is an abundant number, since it is smaller than the sum of its proper divisors (329246375328).

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

110132212320 is a wasteful number, since it uses less digits than its factorization.

110132212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

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

Adding to 110132212320 its reverse (23212231011), we get a palindrome (133344443331).

The spelling of 110132212320 in words is "one hundred ten billion, one hundred thirty-two million, two hundred twelve thousand, three hundred twenty".