123811632 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 35368704.

The previous prime is 123811621. The next prime is 123811661. The reversal of 123811632 is 236118321.

It is a happy number.

123811632 is a `hidden beast` number, since 1 + 23 + 8 + 1 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123811596 and 123811605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18244 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2^123811632 is an apocalyptic number.

123811632 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 123811632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

123811632 is an abundant number, since it is smaller than the sum of its proper divisors (289666368).

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

123811632 is a wasteful number, since it uses less digits than its factorization.

123811632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5861 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 123811632 is about 11127.0675382151. The cubic root of 123811632 is about 498.4104614225.

Adding to 123811632 its reverse (236118321), we get a palindrome (359929953).

The spelling of 123811632 in words is "one hundred twenty-three million, eight hundred eleven thousand, six hundred thirty-two".