211241142180 has 144 divisors (see below), whose sum is σ = 695004985584. Its totient is φ = 51724247040.

The previous prime is 211241142179. The next prime is 211241142181. The reversal of 211241142180 is 81241142112.

211241142180 is a `hidden beast` number, since 21 + 12 + 411 + 4 + 218 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211241142179) and next prime (211241142181).

It can be written as a sum of positive squares in 8 ways, for example, as 846460836 + 210394681344 = 29094^2 + 458688^2 .

It is not an unprimeable number, because it can be changed into a prime (211241142181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716407 + ... + 967326.

It is an arithmetic number, because the mean of its divisors is an integer number (4826423511).

Almost surely, 2^211241142180 is an apocalyptic number.

211241142180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211241142180 is an abundant number, since it is smaller than the sum of its proper divisors (483763843404).

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

211241142180 is a wasteful number, since it uses less digits than its factorization.

211241142180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683806 (or 1683801 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 211241142180 its reverse (81241142112), we get a palindrome (292482284292).

The spelling of 211241142180 in words is "two hundred eleven billion, two hundred forty-one million, one hundred forty-two thousand, one hundred eighty".