122887872 has 84 divisors (see below), whose sum is σ = 354397056. Its totient is φ = 40711680.

The previous prime is 122887859. The next prime is 122887879. The reversal of 122887872 is 278788221.

It is not an unprimeable number, because it can be changed into a prime (122887879) 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 11 ways as a sum of consecutive naturals, for example, 109458 + ... + 110574.

Almost surely, 2^122887872 is an apocalyptic number.

122887872 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 122887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177198528).

122887872 is an abundant number, since it is smaller than the sum of its proper divisors (231509184).

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

122887872 is a wasteful number, since it uses less digits than its factorization.

122887872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 122887872 is about 11085.4802331699. The cubic root of 122887872 is about 497.1678171037.

The spelling of 122887872 in words is "one hundred twenty-two million, eight hundred eighty-seven thousand, eight hundred seventy-two".