212011333040 has 80 divisors (see below), whose sum is σ = 537563510400. Its totient is φ = 77290177536.

The previous prime is 212011333033. The next prime is 212011333087. The reversal of 212011333040 is 40333110212.

212011333040 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 Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208075 + ... + 1372394.

It is an arithmetic number, because the mean of its divisors is an integer number (6719543880).

Almost surely, 2^212011333040 is an apocalyptic number.

212011333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011333040 is an abundant number, since it is smaller than the sum of its proper divisors (325552177360).

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

212011333040 is a wasteful number, since it uses less digits than its factorization.

212011333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580574 (or 2580568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212011333040 its reverse (40333110212), we get a palindrome (252344443252).

The spelling of 212011333040 in words is "two hundred twelve billion, eleven million, three hundred thirty-three thousand, forty".