122381688 has 128 divisors (see below), whose sum is σ = 363283200. Its totient is φ = 34070400.

The previous prime is 122381683. The next prime is 122381713. The reversal of 122381688 is 886183221.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122381683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579903 + ... + 580113.

It is an arithmetic number, because the mean of its divisors is an integer number (2838150).

Almost surely, 2^122381688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122381688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181641600).

122381688 is an abundant number, since it is smaller than the sum of its proper divisors (240901512).

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

122381688 is a wasteful number, since it uses less digits than its factorization.

122381688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 122381688 is about 11062.6257280991. The cubic root of 122381688 is about 496.4842543399.

The spelling of 122381688 in words is "one hundred twenty-two million, three hundred eighty-one thousand, six hundred eighty-eight".