122731632 has 80 divisors (see below), whose sum is σ = 360532480. Its totient is φ = 39953088.

The previous prime is 122731601. The next prime is 122731633. The reversal of 122731632 is 236137221.

122731632 is a `hidden beast` number, since 1 + 2 + 27 + 3 + 1 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122731596 and 122731605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122731633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15273 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (4506656).

Almost surely, 2^122731632 is an apocalyptic number.

122731632 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 122731632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180266240).

122731632 is an abundant number, since it is smaller than the sum of its proper divisors (237800848).

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

122731632 is a wasteful number, since it uses less digits than its factorization.

122731632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6655 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 122731632 is about 11078.4309358320. The cubic root of 122731632 is about 496.9570275398.

Adding to 122731632 its reverse (236137221), we get a palindrome (358868853).

The spelling of 122731632 in words is "one hundred twenty-two million, seven hundred thirty-one thousand, six hundred thirty-two".