212015040 has 112 divisors (see below), whose sum is σ = 676473120. Its totient is φ = 56258560.

The previous prime is 212015029. The next prime is 212015047. The reversal of 212015040 is 40510212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212015047) 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, 257830 + ... + 258650.

Almost surely, 2^212015040 is an apocalyptic number.

212015040 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 212015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338236560).

212015040 is an abundant number, since it is smaller than the sum of its proper divisors (464458080).

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

212015040 is a wasteful number, since it uses less digits than its factorization.

212015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 212015040 is about 14560.7362451217. The cubic root of 212015040 is about 596.2872959895.

Adding to 212015040 its reverse (40510212), we get a palindrome (252525252).

The spelling of 212015040 in words is "two hundred twelve million, fifteen thousand, forty".