122630112 has 360 divisors, whose sum is σ = 437987088. Its totient is φ = 33454080.

The previous prime is 122630111. The next prime is 122630113. The reversal of 122630112 is 211036221.

122630112 is a `hidden beast` number, since 1 + 22 + 630 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (122630111) and next prime (122630113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122630111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5331733 + ... + 5331755.

Almost surely, 2^122630112 is an apocalyptic number.

122630112 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 122630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544).

122630112 is an abundant number, since it is smaller than the sum of its proper divisors (315356976).

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

122630112 is a wasteful number, since it uses less digits than its factorization.

122630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122630112 is about 11073.8481116548. The cubic root of 122630112 is about 496.8199669914.

Adding to 122630112 its reverse (211036221), we get a palindrome (333666333).

The spelling of 122630112 in words is "one hundred twenty-two million, six hundred thirty thousand, one hundred twelve".