211213412120 has 128 divisors (see below), whose sum is σ = 509916254400. Its totient is φ = 78458290176.

The previous prime is 211213412083. The next prime is 211213412141. The reversal of 211213412120 is 21214312112.

It is a super-2 number, since 2×211213412120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211213412092 and 211213412101.

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, 17436626 + ... + 17448734.

Almost surely, 2^211213412120 is an apocalyptic number.

211213412120 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 211213412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254958127200).

211213412120 is an abundant number, since it is smaller than the sum of its proper divisors (298702842280).

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

211213412120 is a wasteful number, since it uses less digits than its factorization.

211213412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211213412120 its reverse (21214312112), we get a palindrome (232427724232).

The spelling of 211213412120 in words is "two hundred eleven billion, two hundred thirteen million, four hundred twelve thousand, one hundred twenty".