21123303132000 has 384 divisors, whose sum is σ = 72226195292160. Its totient is φ = 5386662758400.

The previous prime is 21123303131951. The next prime is 21123303132077. The reversal of 21123303132000 is 23130332112.

It is a super-2 number, since 2×21123303132000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1692701761 + ... + 1692714239.

It is an arithmetic number, because the mean of its divisors is an integer number (188089050240).

Almost surely, 2^{21123303132000} is an apocalyptic number.

21123303132000 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 21123303132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36113097646080).

21123303132000 is an abundant number, since it is smaller than the sum of its proper divisors (51102892160160).

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

21123303132000 is a wasteful number, since it uses less digits than its factorization.

21123303132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18663 (or 18645 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21123303132000 its reverse (23130332112), we get a palindrome (21146433464112).

The spelling of 21123303132000 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred three million, one hundred thirty-two thousand".