123101020232320 has 128 divisors (see below), whose sum is σ = 316950677568000. Its totient is φ = 45449137164288.

The previous prime is 123101020232297. The next prime is 123101020232339. The reversal of 123101020232320 is 23232020101321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123101020232320² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123101020232291 and 123101020232300.

It is an unprimeable number.

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, 107248011 + ... + 108389749.

It is an arithmetic number, because the mean of its divisors is an integer number (2476177168500).

Almost surely, 2^{123101020232320} is an apocalyptic number.

123101020232320 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 123101020232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158475338784000).

123101020232320 is an abundant number, since it is smaller than the sum of its proper divisors (193849657335680).

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

123101020232320 is a wasteful number, since it uses less digits than its factorization.

123101020232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154730 (or 1154718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123101020232320 its reverse (23232020101321), we get a palindrome (146333040333641).

The spelling of 123101020232320 in words is "one hundred twenty-three trillion, one hundred one billion, twenty million, two hundred thirty-two thousand, three hundred twenty".