122851872 has 288 divisors, whose sum is σ = 434790720. Its totient is φ = 32348160.

The previous prime is 122851871. The next prime is 122851879. The reversal of 122851872 is 278158221.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (122851871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782418 + ... + 782574.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^122851872 is an apocalyptic number.

122851872 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 122851872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

122851872 is an abundant number, since it is smaller than the sum of its proper divisors (311938848).

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

122851872 is a wasteful number, since it uses less digits than its factorization.

122851872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 122851872 is about 11083.8563686111. The cubic root of 122851872 is about 497.1192639276.

The spelling of 122851872 in words is "one hundred twenty-two million, eight hundred fifty-one thousand, eight hundred seventy-two".