123101122032 has 320 divisors, whose sum is σ = 410720855040. Its totient is φ = 34576257024.

The previous prime is 123101122019. The next prime is 123101122057. The reversal of 123101122032 is 230221101321.

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 = 123101121996 and 123101122014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44327428 + ... + 44330204.

It is an arithmetic number, because the mean of its divisors is an integer number (1283502672).

Almost surely, 2^123101122032 is an apocalyptic number.

123101122032 is a gapful number since it is divisible by the number (12) 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 123101122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205360427520).

123101122032 is an abundant number, since it is smaller than the sum of its proper divisors (287619733008).

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

123101122032 is a wasteful number, since it uses less digits than its factorization.

123101122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3033 counting only the distinct ones).

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

Adding to 123101122032 its reverse (230221101321), we get a palindrome (353322223353).

The spelling of 123101122032 in words is "one hundred twenty-three billion, one hundred one million, one hundred twenty-two thousand, thirty-two".