122891472 has 120 divisors (see below), whose sum is σ = 387891840. Its totient is φ = 37224000.

The previous prime is 122891441. The next prime is 122891477. The reversal of 122891472 is 274198221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122891477) 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 23 ways as a sum of consecutive naturals, for example, 51097 + ... + 53447.

It is an arithmetic number, because the mean of its divisors is an integer number (3232432).

Almost surely, 2^122891472 is an apocalyptic number.

122891472 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 122891472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

122891472 is an abundant number, since it is smaller than the sum of its proper divisors (265000368).

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

122891472 is a wasteful number, since it uses less digits than its factorization.

122891472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2367 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 122891472 is about 11085.6426065429. The cubic root of 122891472 is about 497.1726718997.

The spelling of 122891472 in words is "one hundred twenty-two million, eight hundred ninety-one thousand, four hundred seventy-two".