211131120 has 40 divisors (see below), whose sum is σ = 654507216. Its totient is φ = 56301568.

The previous prime is 211131119. The next prime is 211131133. The reversal of 211131120 is 21131112.

211131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 211131096 and 211131105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439617 + ... + 440096.

Almost surely, 2^211131120 is an apocalyptic number.

211131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131120 is an abundant number, since it is smaller than the sum of its proper divisors (443376096).

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

211131120 is a wasteful number, since it uses less digits than its factorization.

211131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879729 (or 879723 counting only the distinct ones).

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

The square root of 211131120 is about 14530.3516819105. The cubic root of 211131120 is about 595.4574736583.

Adding to 211131120 its reverse (21131112), we get a palindrome (232262232).

The spelling of 211131120 in words is "two hundred eleven million, one hundred thirty-one thousand, one hundred twenty".