212940 has 108 divisors (see below), whose sum is σ = 799344. Its totient is φ = 44928.

The previous prime is 212923. The next prime is 212969. The reversal of 212940 is 49212.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16374 + ... + 16386.

2²¹²⁹⁴⁰ is an apocalyptic number.

212940 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 212940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399672).

212940 is an abundant number, since it is smaller than the sum of its proper divisors (586404).

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

212940 is a wasteful number, since it uses less digits than its factorization.

212940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212940 is about 461.4542230818. The cubic root of 212940 is about 59.7153180729.

The spelling of 212940 in words is "two hundred twelve thousand, nine hundred forty".