112012022121120 has 288 divisors, whose sum is σ = 418151763469440. Its totient is φ = 27078789150720.

The previous prime is 112012022121113. The next prime is 112012022121169. The reversal of 112012022121120 is 21121220210211.

112012022121120 is a `hidden beast` number, since 11 + 201 + 2 + 0 + 221 + 211 + 20 = 666.

112012022121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112012022121093 and 112012022121102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4162279 + ... + 15535398.

It is an arithmetic number, because the mean of its divisors is an integer number (1451915845380).

Almost surely, 2^{112012022121120} is an apocalyptic number.

112012022121120 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 112012022121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209075881734720).

112012022121120 is an abundant number, since it is smaller than the sum of its proper divisors (306139741348320).

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

112012022121120 is a wasteful number, since it uses less digits than its factorization.

112012022121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19698068 (or 19698057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112012022121120 its reverse (21121220210211), we get a palindrome (133133242331331).

The spelling of 112012022121120 in words is "one hundred twelve trillion, twelve billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".