21227113600 has 576 divisors, whose sum is σ = 68863806720. Its totient is φ = 6386688000.

The previous prime is 21227113591. The next prime is 21227113603. The reversal of 21227113600 is 631172212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21227113603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53468602 + ... + 53468998.

It is an arithmetic number, because the mean of its divisors is an integer number (119555220).

Almost surely, 2^21227113600 is an apocalyptic number.

21227113600 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 21227113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34431903360).

21227113600 is an abundant number, since it is smaller than the sum of its proper divisors (47636693120).

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

21227113600 is a wasteful number, since it uses less digits than its factorization.

21227113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 21227113600 its reverse (631172212), we get a palindrome (21858285812).

The spelling of 21227113600 in words is "twenty-one billion, two hundred twenty-seven million, one hundred thirteen thousand, six hundred".