122112240 has 160 divisors (see below), whose sum is σ = 405926400. Its totient is φ = 30274560.

The previous prime is 122112239. The next prime is 122112293. The reversal of 122112240 is 42211221.

It is a super-2 number, since 2×122112240² = 29822798315635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277941 + ... + 278379.

It is an arithmetic number, because the mean of its divisors is an integer number (2537040).

Almost surely, 2^122112240 is an apocalyptic number.

122112240 is a gapful number since it is divisible by the number (10) 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 122112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202963200).

122112240 is an abundant number, since it is smaller than the sum of its proper divisors (283814160).

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

122112240 is a wasteful number, since it uses less digits than its factorization.

122112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122112240 is about 11050.4407151932. The cubic root of 122112240 is about 496.1196164854.

Adding to 122112240 its reverse (42211221), we get a palindrome (164323461).

The spelling of 122112240 in words is "one hundred twenty-two million, one hundred twelve thousand, two hundred forty".