122784992 has 72 divisors (see below), whose sum is σ = 279858600. Its totient is φ = 52842240.

The previous prime is 122784989. The next prime is 122785007. The reversal of 122784992 is 299487221.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72734 + ... + 74402.

It is an arithmetic number, because the mean of its divisors is an integer number (3886925).

Almost surely, 2^122784992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122784992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139929300).

122784992 is an abundant number, since it is smaller than the sum of its proper divisors (157073608).

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

122784992 is a wasteful number, since it uses less digits than its factorization.

122784992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1701 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 122784992 is about 11080.8389574075. The cubic root of 122784992 is about 497.0290377311.

The spelling of 122784992 in words is "one hundred twenty-two million, seven hundred eighty-four thousand, nine hundred ninety-two".