122210022200112 has 1440 divisors, whose sum is σ = 448550131620864. Its totient is φ = 30378609930240.

The previous prime is 122210022200111. The next prime is 122210022200113. The reversal of 122210022200112 is 211002220012221.

It is a happy number.

122210022200112 is a `hidden beast` number, since 122 + 210 + 0 + 2 + 220 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (122210022200111) and next prime (122210022200113).

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

It is not an unprimeable number, because it can be changed into a prime (122210022200111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75765667018 + ... + 75765668630.

Almost surely, 2^{122210022200112} is an apocalyptic number.

122210022200112 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 122210022200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224275065810432).

122210022200112 is an abundant number, since it is smaller than the sum of its proper divisors (326340109420752).

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

122210022200112 is a wasteful number, since it uses less digits than its factorization.

122210022200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122210022200112 its reverse (211002220012221), we get a palindrome (333212242212333).

The spelling of 122210022200112 in words is "one hundred twenty-two trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred twelve".