112121200020000 has 960 divisors, whose sum is σ = 382366164660480. Its totient is φ = 28742418432000.

The previous prime is 112121200019999. The next prime is 112121200020029. The reversal of 112121200020000 is 20002121211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31771378236 + ... + 31771381764.

It is an arithmetic number, because the mean of its divisors is an integer number (398298088188).

Almost surely, 2^{112121200020000} is an apocalyptic number.

112121200020000 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 112121200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191183082330240).

112121200020000 is an abundant number, since it is smaller than the sum of its proper divisors (270244964640480).

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

112121200020000 is a wasteful number, since it uses less digits than its factorization.

112121200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3792 counting only the distinct ones).

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

Adding to 112121200020000 its reverse (20002121211), we get a palindrome (112141202141211).

The spelling of 112121200020000 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred million, twenty thousand".