123033250133040 has 320 divisors, whose sum is σ = 415228923648000. Its totient is φ = 29955959427072.

The previous prime is 123033250132939. The next prime is 123033250133071. The reversal of 123033250133040 is 40331052330321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123033250132989 and 123033250133007.

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, 110552647 + ... + 111659993.

It is an arithmetic number, because the mean of its divisors is an integer number (1297590386400).

Almost surely, 2^{123033250133040} is an apocalyptic number.

123033250133040 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 123033250133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207614461824000).

123033250133040 is an abundant number, since it is smaller than the sum of its proper divisors (292195673514960).

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

123033250133040 is a wasteful number, since it uses less digits than its factorization.

123033250133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107764 (or 1107758 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 123033250133040 in words is "one hundred twenty-three trillion, thirty-three billion, two hundred fifty million, one hundred thirty-three thousand, forty".