213212310022112 has 144 divisors (see below), whose sum is σ = 465323033266560. Its totient is φ = 95966668756992.

The previous prime is 213212310022051. The next prime is 213212310022121. The reversal of 213212310022112 is 211220013212312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5765748839 + ... + 5765785817.

It is an arithmetic number, because the mean of its divisors is an integer number (3231409953240).

Almost surely, 2^{213212310022112} 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 213212310022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232661516633280).

213212310022112 is an abundant number, since it is smaller than the sum of its proper divisors (252110723244448).

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

213212310022112 is a wasteful number, since it uses less digits than its factorization.

213212310022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64153 (or 64128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 213212310022112 its reverse (211220013212312), we get a palindrome (424432323234424).

The spelling of 213212310022112 in words is "two hundred thirteen trillion, two hundred twelve billion, three hundred ten million, twenty-two thousand, one hundred twelve".