212000112120 has 128 divisors (see below), whose sum is σ = 655734657600. Its totient is φ = 54791110656.

The previous prime is 212000112109. The next prime is 212000112187. The reversal of 212000112120 is 21211000212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212000112096 and 212000112105.

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, 1048186 + ... + 1233974.

Almost surely, 2^212000112120 is an apocalyptic number.

212000112120 is a gapful number since it is divisible by the number (20) 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 212000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327867328800).

212000112120 is an abundant number, since it is smaller than the sum of its proper divisors (443734545480).

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

212000112120 is a wasteful number, since it uses less digits than its factorization.

212000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186097 (or 186093 counting only the distinct ones).

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

Adding to 212000112120 its reverse (21211000212), we get a palindrome (233211112332).

The spelling of 212000112120 in words is "two hundred twelve billion, one hundred twelve thousand, one hundred twenty".