21432131012000 has 96 divisors (see below), whose sum is σ = 52691408222544. Its totient is φ = 8567534976000.

The previous prime is 21432131011981. The next prime is 21432131012009. The reversal of 21432131012000 is 21013123412.

It can be written as a sum of positive squares in 8 ways, for example, as 5749042016656 + 15683088995344 = 2397716^2 + 3960188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21432131012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4791110 + ... + 8112890.

Almost surely, 2^{21432131012000} is an apocalyptic number.

21432131012000 is a gapful number since it is divisible by the number (20) 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 21432131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345704111272).

21432131012000 is an abundant number, since it is smaller than the sum of its proper divisors (31259277210544).

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

21432131012000 is a wasteful number, since it uses less digits than its factorization.

21432131012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323419 (or 3323401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21432131012000 its reverse (21013123412), we get a palindrome (21453144135412).

The spelling of 21432131012000 in words is "twenty-one trillion, four hundred thirty-two billion, one hundred thirty-one million, twelve thousand".