123644032512 has 1280 divisors, whose sum is σ = 475169587200. Its totient is φ = 27538882560.

The previous prime is 123644032333. The next prime is 123644032591. The reversal of 123644032512 is 215230446321.

123644032512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2095661539 + ... + 2095661597.

It is an arithmetic number, because the mean of its divisors is an integer number (371226240).

Almost surely, 2^123644032512 is an apocalyptic number.

123644032512 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 123644032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237584793600).

123644032512 is an abundant number, since it is smaller than the sum of its proper divisors (351525554688).

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

123644032512 is a wasteful number, since it uses less digits than its factorization.

123644032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 123644032512 its reverse (215230446321), we get a palindrome (338874478833).

The spelling of 123644032512 in words is "one hundred twenty-three billion, six hundred forty-four million, thirty-two thousand, five hundred twelve".