112112011202000 has 160 divisors (see below), whose sum is σ = 272295893376000. Its totient is φ = 44645154432000.

The previous prime is 112112011201979. The next prime is 112112011202021. The reversal of 112112011202000 is 202110211211.

It is an interprime number because it is at equal distance from previous prime (112112011201979) and next prime (112112011202021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503086601 + ... + 503309399.

It is an arithmetic number, because the mean of its divisors is an integer number (1701849333600).

Almost surely, 2^{112112011202000} is an apocalyptic number.

112112011202000 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 112112011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136147946688000).

112112011202000 is an abundant number, since it is smaller than the sum of its proper divisors (160183882174000).

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

112112011202000 is a wasteful number, since it uses less digits than its factorization.

112112011202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223942 (or 223926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112112011202000 its reverse (202110211211), we get a palindrome (112314121413211).

The spelling of 112112011202000 in words is "one hundred twelve trillion, one hundred twelve billion, eleven million, two hundred two thousand".