210112112011120 has 40 divisors (see below), whose sum is σ = 532920720466800. Its totient is φ = 76404404367360.

The previous prime is 210112112011111. The next prime is 210112112011141. The reversal of 210112112011120 is 21110211211012.

210112112011120 is digitally balanced in base 2, 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 (40).

It is a super-2 number, since 2×210112112011120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210112112011094 and 210112112011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119381880945 + ... + 119381882704.

It is an arithmetic number, because the mean of its divisors is an integer number (13323018011670).

Almost surely, 2^{210112112011120} is an apocalyptic number.

210112112011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112112011120 is an abundant number, since it is smaller than the sum of its proper divisors (322808608455680).

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

210112112011120 is a wasteful number, since it uses less digits than its factorization.

210112112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238763763673 (or 238763763667 counting only the distinct ones).

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

Adding to 210112112011120 its reverse (21110211211012), we get a palindrome (231222323222132).

The spelling of 210112112011120 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, one hundred twenty".