123084430632 has 320 divisors, whose sum is σ = 382662403200. Its totient is φ = 36787322880.

The previous prime is 123084430627. The next prime is 123084430657. The reversal of 123084430632 is 236034480321.

123084430632 is a `hidden beast` number, since 1 + 2 + 308 + 44 + 306 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27465832 + ... + 27470312.

It is an arithmetic number, because the mean of its divisors is an integer number (1195820010).

Almost surely, 2^123084430632 is an apocalyptic number.

123084430632 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 123084430632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191331201600).

123084430632 is an abundant number, since it is smaller than the sum of its proper divisors (259577972568).

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

123084430632 is a wasteful number, since it uses less digits than its factorization.

123084430632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 123084430632 in words is "one hundred twenty-three billion, eighty-four million, four hundred thirty thousand, six hundred thirty-two".