122472768 has 112 divisors (see below), whose sum is σ = 357566976. Its totient is φ = 36687360.

The previous prime is 122472767. The next prime is 122472773. The reversal of 122472768 is 867274221.

It is a super-3 number, since 3×122472768³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122472767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217255 + ... + 217817.

Almost surely, 2^122472768 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 122472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178783488).

122472768 is an abundant number, since it is smaller than the sum of its proper divisors (235094208).

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

122472768 is a wasteful number, since it uses less digits than its factorization.

122472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 122472768 is about 11066.7415258512. The cubic root of 122472768 is about 496.6073897896.

The spelling of 122472768 in words is "one hundred twenty-two million, four hundred seventy-two thousand, seven hundred sixty-eight".