123632479872 has 960 divisors, whose sum is σ = 443766977280. Its totient is φ = 34123161600.

The previous prime is 123632479871. The next prime is 123632479939. The reversal of 123632479872 is 278974236321.

It is a happy number.

123632479872 is a `hidden beast` number, since 1 + 236 + 324 + 7 + 9 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6096384) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (123632479871) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3988144497 + ... + 3988144527.

It is an arithmetic number, because the mean of its divisors is an integer number (462257268).

Almost surely, 2^123632479872 is an apocalyptic number.

123632479872 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 123632479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221883488640).

123632479872 is an abundant number, since it is smaller than the sum of its proper divisors (320134497408).

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

123632479872 is an equidigital number, since it uses as much as digits as its factorization.

123632479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 64 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 123632479872 in words is "one hundred twenty-three billion, six hundred thirty-two million, four hundred seventy-nine thousand, eight hundred seventy-two".