212021040 has 360 divisors, whose sum is σ = 846039600. Its totient is φ = 43760640.

The previous prime is 212021027. The next prime is 212021083. The reversal of 212021040 is 40120212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422886 + ... + 1423034.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2^212021040 is an apocalyptic number.

212021040 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 212021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423019800).

212021040 is an abundant number, since it is smaller than the sum of its proper divisors (634018560).

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

212021040 is a wasteful number, since it uses less digits than its factorization.

212021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212021040 is about 14560.9422772017. The cubic root of 212021040 is about 596.2929208892.

Adding to 212021040 its reverse (40120212), we get a palindrome (252141252).

The spelling of 212021040 in words is "two hundred twelve million, twenty-one thousand, forty".