212021320142040 has 128 divisors (see below), whose sum is σ = 637761410136000. Its totient is φ = 56388245258240.

The previous prime is 212021320142029. The next prime is 212021320142063. The reversal of 212021320142040 is 40241023120212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212021320142040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121603630 + ... + 123334850.

Almost surely, 2^{212021320142040} is an apocalyptic number.

212021320142040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021320142040 is an abundant number, since it is smaller than the sum of its proper divisors (425740089993960).

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

212021320142040 is a wasteful number, since it uses less digits than its factorization.

212021320142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733957 (or 1733953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212021320142040 its reverse (40241023120212), we get a palindrome (252262343262252).

The spelling of 212021320142040 in words is "two hundred twelve trillion, twenty-one billion, three hundred twenty million, one hundred forty-two thousand, forty".