21122411200 has 168 divisors, whose sum is σ = 56874216960. Its totient is φ = 7657190400.

The previous prime is 21122411183. The next prime is 21122411213. The reversal of 21122411200 is 211422112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6316729 + ... + 6320071.

Almost surely, 2^21122411200 is an apocalyptic number.

21122411200 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 21122411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28437108480).

21122411200 is an abundant number, since it is smaller than the sum of its proper divisors (35751805760).

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

21122411200 is a wasteful number, since it uses less digits than its factorization.

21122411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122411200 its reverse (211422112), we get a palindrome (21333833312).

The spelling of 21122411200 in words is "twenty-one billion, one hundred twenty-two million, four hundred eleven thousand, two hundred".