21233120400 has 360 divisors, whose sum is σ = 75056344896. Its totient is φ = 5557939200.

The previous prime is 21233120387. The next prime is 21233120413. The reversal of 21233120400 is 402133212.

21233120400 is a `hidden beast` number, since 21 + 233 + 12 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (21233120387) and next prime (21233120413).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64148235 + ... + 64148565.

Almost surely, 2^21233120400 is an apocalyptic number.

21233120400 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 21233120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37528172448).

21233120400 is an abundant number, since it is smaller than the sum of its proper divisors (53823224496).

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

21233120400 is a wasteful number, since it uses less digits than its factorization.

21233120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21233120400 its reverse (402133212), we get a palindrome (21635253612).

The spelling of 21233120400 in words is "twenty-one billion, two hundred thirty-three million, one hundred twenty thousand, four hundred".