213241222142312 has 128 divisors (see below), whose sum is σ = 501475397068800. Its totient is φ = 82751724776448.

The previous prime is 213241222142303. The next prime is 213241222142341.

It is a happy number.

213241222142312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203161478 + ... + 204208394.

It is an arithmetic number, because the mean of its divisors is an integer number (3917776539600).

Almost surely, 2^{213241222142312} 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 213241222142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250737698534400).

213241222142312 is an abundant number, since it is smaller than the sum of its proper divisors (288234174926488).

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

213241222142312 is a wasteful number, since it uses less digits than its factorization.

213241222142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052275 (or 1052271 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 213241222142312 in words is "two hundred thirteen trillion, two hundred forty-one billion, two hundred twenty-two million, one hundred forty-two thousand, three hundred twelve".