123021103013312 has 112 divisors (see below), whose sum is σ = 279825709201920. Its totient is φ = 52566267866112.

The previous prime is 123021103013231. The next prime is 123021103013317. The reversal of 123021103013312 is 213310301120321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×123021103013312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123021103013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859897178 + ... + 860040230.

It is an arithmetic number, because the mean of its divisors is an integer number (2498443832160).

Almost surely, 2^{123021103013312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123021103013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139912854600960).

123021103013312 is an abundant number, since it is smaller than the sum of its proper divisors (156804606188608).

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

123021103013312 is a wasteful number, since it uses less digits than its factorization.

123021103013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148778 (or 148768 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 123021103013312 its reverse (213310301120321), we get a palindrome (336331404133633).

The spelling of 123021103013312 in words is "one hundred twenty-three trillion, twenty-one billion, one hundred three million, thirteen thousand, three hundred twelve".