122260096 has 96 divisors (see below), whose sum is σ = 287618580. Its totient is φ = 51609600.

The previous prime is 122260081. The next prime is 122260097. The reversal of 122260096 is 690062221.

It can be written as a sum of positive squares in 2 ways, for example, as 119246400 + 3013696 = 10920^2 + 1736^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (122260097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633376 + ... + 633568.

Almost surely, 2^122260096 is an apocalyptic number.

122260096 is a gapful number since it is divisible by the number (16) 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 122260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143809290).

122260096 is an abundant number, since it is smaller than the sum of its proper divisors (165358484).

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

122260096 is a wasteful number, since it uses less digits than its factorization.

122260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 122260096 is about 11057.1287412239. The cubic root of 122260096 is about 496.3197729852.

The spelling of 122260096 in words is "one hundred twenty-two million, two hundred sixty thousand, ninety-six".