212291280 has 150 divisors (see below), whose sum is σ = 741415158. Its totient is φ = 56298240.

The previous prime is 212291279. The next prime is 212291293. The reversal of 212291280 is 82192212.

212291280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 26132544 + 186158736 = 5112^2 + 13644^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1172790 + ... + 1172970.

Almost surely, 2^212291280 is an apocalyptic number.

212291280 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 212291280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370707579).

212291280 is an abundant number, since it is smaller than the sum of its proper divisors (529123878).

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

212291280 is an equidigital number, since it uses as much as digits as its factorization.

212291280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212291280 is about 14570.2189413886. The cubic root of 212291280 is about 596.5461564233.

The spelling of 212291280 in words is "two hundred twelve million, two hundred ninety-one thousand, two hundred eighty".