123210211021120 has 112 divisors (see below), whose sum is σ = 308908699732800. Its totient is φ = 46679212707840.

The previous prime is 123210211021049. The next prime is 123210211021147. The reversal of 123210211021120 is 21120112012321.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 15 ways as a sum of consecutive naturals, for example, 23515660 + ... + 28273780.

Almost surely, 2^{123210211021120} is an apocalyptic number.

123210211021120 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 123210211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154454349866400).

123210211021120 is an abundant number, since it is smaller than the sum of its proper divisors (185698488711680).

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

123210211021120 is a wasteful number, since it uses less digits than its factorization.

123210211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762416 (or 4762406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 123210211021120 its reverse (21120112012321), we get a palindrome (144330323033441).

The spelling of 123210211021120 in words is "one hundred twenty-three trillion, two hundred ten billion, two hundred eleven million, twenty-one thousand, one hundred twenty".