112001022000000 has 896 divisors, whose sum is σ = 472222080480000. Its totient is φ = 25600147200000.

The previous prime is 112001021999959. The next prime is 112001022000037. The reversal of 112001022000000 is 220100211.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 377851851 + ... + 378148149.

Almost surely, 2^{112001022000000} is an apocalyptic number.

112001022000000 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 112001022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236111040240000).

112001022000000 is an abundant number, since it is smaller than the sum of its proper divisors (360221058480000).

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

112001022000000 is an frugal number, since it uses more digits than its factorization.

112001022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296359 (or 296316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112001022000000 its reverse (220100211), we get a palindrome (112001242100211).

The spelling of 112001022000000 in words is "one hundred twelve trillion, one billion, twenty-two million", and thus it is an aban number.