122181696 has 420 divisors, whose sum is σ = 465988908. Its totient is φ = 31352832.

The previous prime is 122181673. The next prime is 122181713. The reversal of 122181696 is 696181221.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 57153600 = 8064^2 + 7560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122181696.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302190 + ... + 3302226.

Almost surely, 2^122181696 is an apocalyptic number.

122181696 is a gapful number since it is divisible by the number (16) 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 122181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232994454).

122181696 is an abundant number, since it is smaller than the sum of its proper divisors (343807212).

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

122181696 is a wasteful number, since it uses less digits than its factorization.

122181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 122181696 is about 11053.5829485285. The cubic root of 122181696 is about 496.2136609835.

The spelling of 122181696 in words is "one hundred twenty-two million, one hundred eighty-one thousand, six hundred ninety-six".