212051440 has 80 divisors (see below), whose sum is σ = 513984960. Its totient is φ = 81285120.

The previous prime is 212051429. The next prime is 212051443. The reversal of 212051440 is 44150212.

212051440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212051443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209656 + ... + 210664.

It is an arithmetic number, because the mean of its divisors is an integer number (6424812).

Almost surely, 2^212051440 is an apocalyptic number.

212051440 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 212051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256992480).

212051440 is an abundant number, since it is smaller than the sum of its proper divisors (301933520).

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

212051440 is a wasteful number, since it uses less digits than its factorization.

212051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212051440 is about 14561.9861282725. The cubic root of 212051440 is about 596.3214187504.

The spelling of 212051440 in words is "two hundred twelve million, fifty-one thousand, four hundred forty".