212001021112120 has 128 divisors (see below), whose sum is σ = 499905752371200. Its totient is φ = 80819544960000.

The previous prime is 212001021112103. The next prime is 212001021112169. The reversal of 212001021112120 is 21211120100212.

It is a super-2 number, since 2×212001021112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001021112094 and 212001021112103.

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, 23873677 + ... + 31527043.

It is an arithmetic number, because the mean of its divisors is an integer number (3905513690400).

Almost surely, 2^{212001021112120} is an apocalyptic number.

212001021112120 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 212001021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249952876185600).

212001021112120 is an abundant number, since it is smaller than the sum of its proper divisors (287904731259080).

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

212001021112120 is a wasteful number, since it uses less digits than its factorization.

212001021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653749 (or 7653745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212001021112120 its reverse (21211120100212), we get a palindrome (233212141212332).

The spelling of 212001021112120 in words is "two hundred twelve trillion, one billion, twenty-one million, one hundred twelve thousand, one hundred twenty".