122400112 has 40 divisors (see below), whose sum is σ = 249448320. Its totient is φ = 58069440.

The previous prime is 122400077. The next prime is 122400149. The reversal of 122400112 is 211004221.

It is a happy number.

It is a super-2 number, since 2×122400112² = 29963574835225088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122400092 and 122400101.

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, 46939 + ... + 49477.

It is an arithmetic number, because the mean of its divisors is an integer number (6236208).

Almost surely, 2^122400112 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 122400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124724160).

122400112 is an abundant number, since it is smaller than the sum of its proper divisors (127048208).

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

122400112 is a wasteful number, since it uses less digits than its factorization.

122400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122400112 is about 11063.4584104610. The cubic root of 122400112 is about 496.5091675631.

Adding to 122400112 its reverse (211004221), we get a palindrome (333404333).

The spelling of 122400112 in words is "one hundred twenty-two million, four hundred thousand, one hundred twelve".