21003001200000 has 288 divisors, whose sum is σ = 75543082589520. Its totient is φ = 5600799360000.

The previous prime is 21003001199993. The next prime is 21003001200011. The reversal of 21003001200000 is 210030012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21003001200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 682917 + ... + 6517083.

Almost surely, 2^{21003001200000} is an apocalyptic number.

21003001200000 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 21003001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37771541294760).

21003001200000 is an abundant number, since it is smaller than the sum of its proper divisors (54540081389520).

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

21003001200000 is an frugal number, since it uses more digits than its factorization.

21003001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834212 (or 5834177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21003001200000 its reverse (210030012), we get a palindrome (21003211230012).

21003001200000 divided by its reverse (210030012) gives a 5-th power (100000 = 10⁵).

The spelling of 21003001200000 in words is "twenty-one trillion, three billion, one million, two hundred thousand".