112102201200000 has 384 divisors, whose sum is σ = 406026067668480. Its totient is φ = 27176288000000.

The previous prime is 112102201199981. The next prime is 112102201200001. The reversal of 112102201200000 is 2102201211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102201200001) 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, 8953705 + ... + 17446295.

It is an arithmetic number, because the mean of its divisors is an integer number (1057359551220).

Almost surely, 2^{112102201200000} is an apocalyptic number.

112102201200000 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 112102201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203013033834240).

112102201200000 is an abundant number, since it is smaller than the sum of its proper divisors (293923866468480).

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

112102201200000 is an frugal number, since it uses more digits than its factorization.

112102201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492644 (or 8492612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112102201200000 its reverse (2102201211), we get a palindrome (112104303401211).

The spelling of 112102201200000 in words is "one hundred twelve trillion, one hundred two billion, two hundred one million, two hundred thousand".