212024202420212 has 576 divisors, whose sum is σ = 495169489575936. Its totient is φ = 78627886202880.

The previous prime is 212024202420197. The next prime is 212024202420221.

212024202420212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212024202420212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76626020453 + ... + 76626023219.

It is an arithmetic number, because the mean of its divisors is an integer number (859669252736).

Almost surely, 2^{212024202420212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212024202420212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247584744787968).

212024202420212 is an abundant number, since it is smaller than the sum of its proper divisors (283145287155724).

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

212024202420212 is a wasteful number, since it uses less digits than its factorization.

212024202420212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 21202420 and 2420212, that added together give a palindrome (23622632).

The spelling of 212024202420212 in words is "two hundred twelve trillion, twenty-four billion, two hundred two million, four hundred twenty thousand, two hundred twelve".