212055040 has 88 divisors (see below), whose sum is σ = 515844000. Its totient is φ = 83632128.

The previous prime is 212055007. The next prime is 212055043. The reversal of 212055040 is 40550212.

It is a junction number, because it is equal to n+sod(n) for n = 212054999 and 212055017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212055043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424711 + ... + 425209.

Almost surely, 2^212055040 is an apocalyptic number.

212055040 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 212055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257922000).

212055040 is an abundant number, since it is smaller than the sum of its proper divisors (303788960).

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

212055040 is an equidigital number, since it uses as much as digits as its factorization.

212055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 212055040 is about 14562.1097372599. The cubic root of 212055040 is about 596.3247933167.

The spelling of 212055040 in words is "two hundred twelve million, fifty-five thousand, forty".