112212002122000 has 320 divisors, whose sum is σ = 303020809498368. Its totient is φ = 39846873600000.

The previous prime is 112212002121991. The next prime is 112212002122069. The reversal of 112212002122000 is 221200212211.

It is a happy number.

112212002122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112212002122000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161860107 + ... + 162551893.

Almost surely, 2^{112212002122000} is an apocalyptic number.

112212002122000 is a gapful number since it is divisible by the number (10) 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 112212002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151510404749184).

112212002122000 is an abundant number, since it is smaller than the sum of its proper divisors (190808807376368).

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

112212002122000 is a wasteful number, since it uses less digits than its factorization.

112212002122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691995 (or 691979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112212002122000 its reverse (221200212211), we get a palindrome (112433202334211).

The spelling of 112212002122000 in words is "one hundred twelve trillion, two hundred twelve billion, two million, one hundred twenty-two thousand".