211210120120120 has 384 divisors, whose sum is σ = 539544872162880. Its totient is φ = 73763655680000.

The previous prime is 211210120120093. The next prime is 211210120120127. The reversal of 211210120120120 is 21021021012112.

It is a junction number, because it is equal to n+sod(n) for n = 211210120120094 and 211210120120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210120120127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18656484060 + ... + 18656495380.

Almost surely, 2^{211210120120120} is an apocalyptic number.

211210120120120 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 211210120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269772436081440).

211210120120120 is an abundant number, since it is smaller than the sum of its proper divisors (328334752042760).

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

211210120120120 is a wasteful number, since it uses less digits than its factorization.

211210120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11675 (or 11582 counting only the distinct ones).

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

Adding to 211210120120120 its reverse (21021021012112), we get a palindrome (232231141132232).

The spelling of 211210120120120 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".