122211210002112 has 336 divisors, whose sum is σ = 436751133811200. Its totient is φ = 31741863137280.

The previous prime is 122211210002039. The next prime is 122211210002117. The reversal of 122211210002112 is 211200012112221.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×122211210002112⁴ (a number of 57 digits) contains 4444 as substring.

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 (122211210002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558002189 + ... + 1558080627.

Almost surely, 2^{122211210002112} is an apocalyptic number.

122211210002112 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 122211210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218375566905600).

122211210002112 is an abundant number, since it is smaller than the sum of its proper divisors (314539923809088).

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

122211210002112 is a wasteful number, since it uses less digits than its factorization.

122211210002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113604 (or 113591 counting only the distinct ones).

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

Adding to 122211210002112 its reverse (211200012112221), we get a palindrome (333411222114333).

The spelling of 122211210002112 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, two thousand, one hundred twelve".