122632640 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 44113920.

The previous prime is 122632633. The next prime is 122632661. The reversal of 122632640 is 46236221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170201 + ... + 170919.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^122632640 is an apocalyptic number.

122632640 is a gapful number since it is divisible by the number (10) 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 122632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

122632640 is an abundant number, since it is smaller than the sum of its proper divisors (199967680).

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

122632640 is a wasteful number, since it uses less digits than its factorization.

122632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 122632640 is about 11073.9622538638. The cubic root of 122632640 is about 496.8233809224.

Adding to 122632640 its reverse (46236221), we get a palindrome (168868861).

The spelling of 122632640 in words is "one hundred twenty-two million, six hundred thirty-two thousand, six hundred forty".