21012333104400 has 120 divisors (see below), whose sum is σ = 73428553185504. Its totient is φ = 5093898931200.

The previous prime is 21012333104377. The next prime is 21012333104401. The reversal of 21012333104400 is 440133321012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21012333104401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 795908509 + ... + 795934908.

Almost surely, 2^{21012333104400} is an apocalyptic number.

21012333104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012333104400 is an abundant number, since it is smaller than the sum of its proper divisors (52416220081104).

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

21012333104400 is a wasteful number, since it uses less digits than its factorization.

21012333104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591843449 (or 1591843438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21012333104400 its reverse (440133321012), we get a palindrome (21452466425412).

The spelling of 21012333104400 in words is "twenty-one trillion, twelve billion, three hundred thirty-three million, one hundred four thousand, four hundred".