122112210010212 has 144 divisors (see below), whose sum is σ = 317275447874112. Its totient is φ = 39571442300160.

The previous prime is 122112210010211. The next prime is 122112210010213. The reversal of 122112210010212 is 212010012211221.

122112210010212 is a `hidden beast` number, since 1 + 221 + 1 + 221 + 0 + 0 + 10 + 212 = 666.

122112210010212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122112210010211) and next prime (122112210010213).

It is a super-3 number, since 3×122112210010212³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (122112210010211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9776009287 + ... + 9776021777.

It is an arithmetic number, because the mean of its divisors is an integer number (2203301721348).

Almost surely, 2^{122112210010212} is an apocalyptic number.

122112210010212 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 122112210010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158637723937056).

122112210010212 is an abundant number, since it is smaller than the sum of its proper divisors (195163237863900).

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

122112210010212 is a wasteful number, since it uses less digits than its factorization.

122112210010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112210010212 its reverse (212010012211221), we get a palindrome (334122222221433).

The spelling of 122112210010212 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, ten thousand, two hundred twelve".