22012214400 has 1536 divisors, whose sum is σ = 98350848000. Its totient is φ = 4744396800.

The previous prime is 22012214383. The next prime is 22012214437. The reversal of 22012214400 is 441221022.

22012214400 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 221 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415324774 + ... + 415324826.

It is an arithmetic number, because the mean of its divisors is an integer number (64030500).

Almost surely, 2^22012214400 is an apocalyptic number.

22012214400 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 22012214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49175424000).

22012214400 is an abundant number, since it is smaller than the sum of its proper divisors (76338633600).

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

22012214400 is a wasteful number, since it uses less digits than its factorization.

22012214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012214400 its reverse (441221022), we get a palindrome (22453435422).

The spelling of 22012214400 in words is "twenty-two billion, twelve million, two hundred fourteen thousand, four hundred".