112120010002000 has 2560 divisors, whose sum is σ = 410784108134400. Its totient is φ = 28402679808000.

The previous prime is 112120010001991. The next prime is 112120010002061. The reversal of 112120010002000 is 200010021211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 53671616956 + ... + 53671619044.

It is an arithmetic number, because the mean of its divisors is an integer number (160462542240).

Almost surely, 2^{112120010002000} is an apocalyptic number.

112120010002000 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 112120010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205392054067200).

112120010002000 is an abundant number, since it is smaller than the sum of its proper divisors (298664098132400).

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

112120010002000 is a wasteful number, since it uses less digits than its factorization.

112120010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112120010002000 its reverse (200010021211), we get a palindrome (112320020023211).

The spelling of 112120010002000 in words is "one hundred twelve trillion, one hundred twenty billion, ten million, two thousand".