22250405341200 has 480 divisors, whose sum is σ = 74620748966400. Its totient is φ = 5661505126400.

The previous prime is 22250405341127. The next prime is 22250405341201. The reversal of 22250405341200 is 214350405222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22250405341201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4506865132 + ... + 4506870068.

It is an arithmetic number, because the mean of its divisors is an integer number (155459893680).

Almost surely, 2^{22250405341200} is an apocalyptic number.

22250405341200 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 22250405341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310374483200).

22250405341200 is an abundant number, since it is smaller than the sum of its proper divisors (52370343625200).

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

22250405341200 is a wasteful number, since it uses less digits than its factorization.

22250405341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22250405341200 its reverse (214350405222), we get a palindrome (22464755746422).

The spelling of 22250405341200 in words is "twenty-two trillion, two hundred fifty billion, four hundred five million, three hundred forty-one thousand, two hundred".