212212220131032 has 256 divisors, whose sum is σ = 593818283520000. Its totient is φ = 62641875878400.

The previous prime is 212212220131019. The next prime is 212212220131033. The reversal of 212212220131032 is 230131022212212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212212220130993 and 212212220131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212220131033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10984628269 + ... + 10984647587.

It is an arithmetic number, because the mean of its divisors is an integer number (2319602670000).

Almost surely, 2^{212212220131032} is an apocalyptic number.

212212220131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212220131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296909141760000).

212212220131032 is an abundant number, since it is smaller than the sum of its proper divisors (381606063388968).

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

212212220131032 is a wasteful number, since it uses less digits than its factorization.

212212220131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21942 (or 21938 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212212220131032 its reverse (230131022212212), we get a palindrome (442343242343244).

The spelling of 212212220131032 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred twenty million, one hundred thirty-one thousand, thirty-two".