212413502233350 has 288 divisors, whose sum is σ = 626508063417600. Its totient is φ = 51168137529600.

The previous prime is 212413502233349. The next prime is 212413502233369. The reversal of 212413502233350 is 53332205314212.

212413502233350 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 350 + 223 + 33 + 50 = 666.

It is a super-3 number, since 3×212413502233350³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4574009431 + ... + 4574055869.

It is an arithmetic number, because the mean of its divisors is an integer number (2175375220200).

Almost surely, 2^{212413502233350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212413502233350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313254031708800).

212413502233350 is an abundant number, since it is smaller than the sum of its proper divisors (414094561184250).

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

212413502233350 is a wasteful number, since it uses less digits than its factorization.

212413502233350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52300 (or 52292 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 212413502233350 its reverse (53332205314212), we get a palindrome (265745707547562).

The spelling of 212413502233350 in words is "two hundred twelve trillion, four hundred thirteen billion, five hundred two million, two hundred thirty-three thousand, three hundred fifty".