112211012000010 has 256 divisors, whose sum is σ = 336777922990080. Its totient is φ = 23245848053760.

The previous prime is 112211011999993. The next prime is 112211012000041. The reversal of 112211012000010 is 10000210112211.

It is a super-2 number, since 2×112211012000010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112211012000010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2015509534 + ... + 2015565206.

It is an arithmetic number, because the mean of its divisors is an integer number (1315538761680).

Almost surely, 2^{112211012000010} is an apocalyptic number.

112211012000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211012000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168388961495040).

112211012000010 is an abundant number, since it is smaller than the sum of its proper divisors (224566910990070).

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

112211012000010 is a wasteful number, since it uses less digits than its factorization.

112211012000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58333.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112211012000010 its reverse (10000210112211), we get a palindrome (122211222112221).

The spelling of 112211012000010 in words is "one hundred twelve trillion, two hundred eleven billion, twelve million, ten", and thus it is an aban number.