212411160 has 288 divisors, whose sum is σ = 790236720. Its totient is φ = 51010560.

The previous prime is 212411137. The next prime is 212411231. The reversal of 212411160 is 61114212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5180740 + ... + 5180780.

Almost surely, 2^212411160 is an apocalyptic number.

212411160 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 212411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395118360).

212411160 is an abundant number, since it is smaller than the sum of its proper divisors (577825560).

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

212411160 is a wasteful number, since it uses less digits than its factorization.

212411160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 212411160 is about 14574.3322317010. The cubic root of 212411160 is about 596.6584243354.

Adding to 212411160 its reverse (61114212), we get a palindrome (273525372).

The spelling of 212411160 in words is "two hundred twelve million, four hundred eleven thousand, one hundred sixty".