212234040313040 has 40 divisors (see below), whose sum is σ = 493458148303008. Its totient is φ = 84891206736000.

The previous prime is 212234040312989. The next prime is 212234040313181. The reversal of 212234040313040 is 40313040432212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×212234040313040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212234040312994 and 212234040313012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34809002 + ... + 40449161.

Almost surely, 2^{212234040313040} is an apocalyptic number.

212234040313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212234040313040 is an abundant number, since it is smaller than the sum of its proper divisors (281224107989968).

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

212234040313040 is a wasteful number, since it uses less digits than its factorization.

212234040313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75293427 (or 75293421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 212234040313040 its reverse (40313040432212), we get a palindrome (252547080745252).

The spelling of 212234040313040 in words is "two hundred twelve trillion, two hundred thirty-four billion, forty million, three hundred thirteen thousand, forty".