123006640032 has 144 divisors (see below), whose sum is σ = 373912314048. Its totient is φ = 38262850560.

The previous prime is 123006640021. The next prime is 123006640139. The reversal of 123006640032 is 230046600321.

123006640032 is a `hidden beast` number, since 12 + 3 + 0 + 0 + 6 + 640 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123006640032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123006639978 and 123006640005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45123 + ... + 498045.

It is an arithmetic number, because the mean of its divisors is an integer number (2596613292).

Almost surely, 2^123006640032 is an apocalyptic number.

123006640032 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 123006640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186956157024).

123006640032 is an abundant number, since it is smaller than the sum of its proper divisors (250905674016).

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

123006640032 is a wasteful number, since it uses less digits than its factorization.

123006640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453003 (or 452992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 123006640032 in words is "one hundred twenty-three billion, six million, six hundred forty thousand, thirty-two".