21345211254312 has 192 divisors, whose sum is σ = 65145427776000. Its totient is φ = 6255202060800.

The previous prime is 21345211254299. The next prime is 21345211254319.

21345211254312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 211 + 2 + 5 + 431 + 2 = 666.

21345211254312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21345211254319) 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, 34780614 + ... + 35389002.

It is an arithmetic number, because the mean of its divisors is an integer number (339299103000).

Almost surely, 2^{21345211254312} is an apocalyptic number.

21345211254312 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 21345211254312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32572713888000).

21345211254312 is an abundant number, since it is smaller than the sum of its proper divisors (43800216521688).

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

21345211254312 is a wasteful number, since it uses less digits than its factorization.

21345211254312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609872 (or 609865 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 2134521 and 1254312, that added together give a palindrome (3388833).

The spelling of 21345211254312 in words is "twenty-one trillion, three hundred forty-five billion, two hundred eleven million, two hundred fifty-four thousand, three hundred twelve".