122084072 has 64 divisors (see below), whose sum is σ = 268012800. Its totient is φ = 51517440.

The previous prime is 122084041. The next prime is 122084077. The reversal of 122084072 is 270480221.

It is a super-2 number, since 2×122084072² = 29809041272202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122084077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117668 + ... + 118700.

It is an arithmetic number, because the mean of its divisors is an integer number (4187700).

Almost surely, 2^122084072 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 122084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134006400).

122084072 is an abundant number, since it is smaller than the sum of its proper divisors (145928728).

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

122084072 is a wasteful number, since it uses less digits than its factorization.

122084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 122084072 is about 11049.1661223823. The cubic root of 122084072 is about 496.0814664140.

The spelling of 122084072 in words is "one hundred twenty-two million, eighty-four thousand, seventy-two".