21201301233000 has 1536 divisors, whose sum is σ = 88914309120000. Its totient is φ = 4654698048000.

The previous prime is 21201301232987. The next prime is 21201301233061. The reversal of 21201301233000 is 33210310212.

21201301233000 is a `hidden beast` number, since 21 + 20 + 1 + 301 + 23 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5700805141 + ... + 5700808859.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920000).

Almost surely, 2^{21201301233000} is an apocalyptic number.

21201301233000 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 21201301233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560000).

21201301233000 is an abundant number, since it is smaller than the sum of its proper divisors (67713007887000).

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

21201301233000 is a wasteful number, since it uses less digits than its factorization.

21201301233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21201301233000 its reverse (33210310212), we get a palindrome (21234511543212).

The spelling of 21201301233000 in words is "twenty-one trillion, two hundred one billion, three hundred one million, two hundred thirty-three thousand".