21120310400 has 384 divisors, whose sum is σ = 64884240000. Its totient is φ = 6626672640.

The previous prime is 21120310357. The next prime is 21120310411. The reversal of 21120310400 is 401302112.

It is a super-2 number, since 2×21120310400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 14088851 + ... + 14090349.

It is an arithmetic number, because the mean of its divisors is an integer number (168969375).

Almost surely, 2^21120310400 is an apocalyptic number.

21120310400 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 21120310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442120000).

21120310400 is an abundant number, since it is smaller than the sum of its proper divisors (43763929600).

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

21120310400 is a wasteful number, since it uses less digits than its factorization.

21120310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21120310400 its reverse (401302112), we get a palindrome (21521612512).

The spelling of 21120310400 in words is "twenty-one billion, one hundred twenty million, three hundred ten thousand, four hundred".