122896872 has 64 divisors (see below), whose sum is σ = 390153600. Its totient is φ = 35112960.

The previous prime is 122896871. The next prime is 122896909. The reversal of 122896872 is 278698221.

It is a super-2 number, since 2×122896872² = 30207282294768768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122896871) 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 15 ways as a sum of consecutive naturals, for example, 39129 + ... + 42152.

It is an arithmetic number, because the mean of its divisors is an integer number (6096150).

Almost surely, 2^122896872 is an apocalyptic number.

122896872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122896872 is an abundant number, since it is smaller than the sum of its proper divisors (267256728).

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

122896872 is a wasteful number, since it uses less digits than its factorization.

122896872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81303 (or 81293 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 122896872 is about 11085.8861621433. The cubic root of 122896872 is about 497.1799539160.

The spelling of 122896872 in words is "one hundred twenty-two million, eight hundred ninety-six thousand, eight hundred seventy-two".