122782788 has 72 divisors (see below), whose sum is σ = 331312800. Its totient is φ = 38226816.

The previous prime is 122782757. The next prime is 122782817. The reversal of 122782788 is 887287221.

It is a super-2 number, since 2×122782788² = 30151226058105888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48703 + ... + 51161.

Almost surely, 2^122782788 is an apocalyptic number.

122782788 is a gapful number since it is divisible by the number (18) 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 122782788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165656400).

122782788 is an abundant number, since it is smaller than the sum of its proper divisors (208530012).

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

122782788 is a wasteful number, since it uses less digits than its factorization.

122782788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2556 counting only the distinct ones).

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

The square root of 122782788 is about 11080.7395060077. The cubic root of 122782788 is about 497.0260638102.

The spelling of 122782788 in words is "one hundred twenty-two million, seven hundred eighty-two thousand, seven hundred eighty-eight".