211215431120 has 20 divisors (see below), whose sum is σ = 491075877540. Its totient is φ = 84486172416.

The previous prime is 211215431113. The next prime is 211215431143. The reversal of 211215431120 is 21134512112.

It can be written as a sum of positive squares in 2 ways, for example, as 143486409616 + 67729021504 = 378796^2 + 260248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×211215431120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320096365 + ... + 1320096524.

It is an arithmetic number, because the mean of its divisors is an integer number (24553793877).

Almost surely, 2^211215431120 is an apocalyptic number.

211215431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211215431120 is an abundant number, since it is smaller than the sum of its proper divisors (279860446420).

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

211215431120 is a wasteful number, since it uses less digits than its factorization.

211215431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640192902 (or 2640192896 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 211215431120 its reverse (21134512112), we get a palindrome (232349943232).

The spelling of 211215431120 in words is "two hundred eleven billion, two hundred fifteen million, four hundred thirty-one thousand, one hundred twenty".