212142880 has 48 divisors (see below), whose sum is σ = 506391480. Its totient is φ = 83976192.

The previous prime is 212142877. The next prime is 212142911. The reversal of 212142880 is 88241212.

It can be written as a sum of positive squares in 4 ways, for example, as 186377104 + 25765776 = 13652^2 + 5076^2 .

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, 8686 + ... + 22354.

Almost surely, 2^212142880 is an apocalyptic number.

212142880 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 212142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253195740).

212142880 is an abundant number, since it is smaller than the sum of its proper divisors (294248600).

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

212142880 is a wasteful number, since it uses less digits than its factorization.

212142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 212142880 is about 14565.1254714815. The cubic root of 212142880 is about 596.4071209031.

The spelling of 212142880 in words is "two hundred twelve million, one hundred forty-two thousand, eight hundred eighty".