213444121444312 has 192 divisors, whose sum is σ = 467782812000000. Its totient is φ = 90974920608000.

The previous prime is 213444121444289. The next prime is 213444121444319.

It is a happy number.

213444121444312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213444121444319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499697989 + ... + 6499730827.

It is an arithmetic number, because the mean of its divisors is an integer number (2436368812500).

Almost surely, 2^{213444121444312} is an apocalyptic number.

213444121444312 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 213444121444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233891406000000).

213444121444312 is an abundant number, since it is smaller than the sum of its proper divisors (254338690555688).

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

213444121444312 is a wasteful number, since it uses less digits than its factorization.

213444121444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36486 (or 36471 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 213444121444312 in words is "two hundred thirteen trillion, four hundred forty-four billion, one hundred twenty-one million, four hundred forty-four thousand, three hundred twelve".