21334200243312 has 160 divisors (see below), whose sum is σ = 61931868321024. Its totient is φ = 6271514726400.

The previous prime is 21334200243281. The next prime is 21334200243331.

It is a happy number.

21334200243312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21334200243312.

It is a congruent number.

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, 4963387 + ... + 8203877.

Almost surely, 2^{21334200243312} is an apocalyptic number.

21334200243312 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 21334200243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965934160512).

21334200243312 is an abundant number, since it is smaller than the sum of its proper divisors (40597668077712).

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

21334200243312 is a wasteful number, since it uses less digits than its factorization.

21334200243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240887 (or 3240881 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 21334200 and 243312, that added together give a palindrome (21577512).

The spelling of 21334200243312 in words is "twenty-one trillion, three hundred thirty-four billion, two hundred million, two hundred forty-three thousand, three hundred twelve".