122038272 has 96 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 40660992.

The previous prime is 122038243. The next prime is 122038297. The reversal of 122038272 is 272830221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54193 + ... + 56399.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2^122038272 is an apocalyptic number.

122038272 is a gapful number since it is divisible by the number (12) 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 122038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

122038272 is an abundant number, since it is smaller than the sum of its proper divisors (239632128).

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

122038272 is an equidigital number, since it uses as much as digits as its factorization.

122038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122038272 is about 11047.0933733720. The cubic root of 122038272 is about 496.0194234503.

Adding to 122038272 its reverse (272830221), we get a palindrome (394868493).

The spelling of 122038272 in words is "one hundred twenty-two million, thirty-eight thousand, two hundred seventy-two".