211000113120 has 384 divisors, whose sum is σ = 724772966400. Its totient is φ = 51382812672.

The previous prime is 211000113047. The next prime is 211000113127. The reversal of 211000113120 is 21311000112.

It is a super-2 number, since 2×211000113120² (a number of 23 digits) contains 22 as substring.

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 = 211000113096 and 211000113105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000113127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144618951 + ... + 144620409.

It is an arithmetic number, because the mean of its divisors is an integer number (1887429600).

Almost surely, 2^211000113120 is an apocalyptic number.

211000113120 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 211000113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362386483200).

211000113120 is an abundant number, since it is smaller than the sum of its proper divisors (513772853280).

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

211000113120 is a wasteful number, since it uses less digits than its factorization.

211000113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

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

Adding to 211000113120 its reverse (21311000112), we get a palindrome (232311113232).

The spelling of 211000113120 in words is "two hundred eleven billion, one hundred thirteen thousand, one hundred twenty".