112122001011000 has 128 divisors (see below), whose sum is σ = 349824759485760. Its totient is φ = 29898848448000.

The previous prime is 112122001010963. The next prime is 112122001011017. The reversal of 112122001011000 is 110100221211.

112122001011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112122001011000² (a number of 29 digits) contains 22 as substring.

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

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, 345188670 + ... + 345513330.

Almost surely, 2^{112122001011000} is an apocalyptic number.

112122001011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122001011000 is an abundant number, since it is smaller than the sum of its proper divisors (237702758474760).

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

112122001011000 is a wasteful number, since it uses less digits than its factorization.

112122001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439802 (or 439788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112122001011000 its reverse (110100221211), we get a palindrome (112232101232211).

The spelling of 112122001011000 in words is "one hundred twelve trillion, one hundred twenty-two billion, one million, eleven thousand".