21341214312 has 192 divisors, whose sum is σ = 60980351040. Its totient is φ = 6213841920.

The previous prime is 21341214311. The next prime is 21341214331.

21341214312 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21341214311) 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, 8916988 + ... + 8919380.

It is an arithmetic number, because the mean of its divisors is an integer number (317605995).

Almost surely, 2^21341214312 is an apocalyptic number.

21341214312 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 21341214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490175520).

21341214312 is an abundant number, since it is smaller than the sum of its proper divisors (39639136728).

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

21341214312 is a wasteful number, since it uses less digits than its factorization.

21341214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2529 counting only the distinct ones).

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

The spelling of 21341214312 in words is "twenty-one billion, three hundred forty-one million, two hundred fourteen thousand, three hundred twelve".