21201321312000 has 432 divisors, whose sum is σ = 78062735438688. Its totient is φ = 5522201395200.

The previous prime is 21201321311993. The next prime is 21201321312019. The reversal of 21201321312000 is 21312310212.

21201321312000 is a `hidden beast` number, since 21 + 201 + 321 + 3 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11528004 + ... + 13239996.

Almost surely, 2^{21201321312000} is an apocalyptic number.

21201321312000 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 21201321312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39031367719344).

21201321312000 is an abundant number, since it is smaller than the sum of its proper divisors (56861414126688).

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

21201321312000 is a wasteful number, since it uses less digits than its factorization.

21201321312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712073 (or 1712046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21201321312000 its reverse (21312310212), we get a palindrome (21222633622212).

The spelling of 21201321312000 in words is "twenty-one trillion, two hundred one billion, three hundred twenty-one million, three hundred twelve thousand".