22201420431300 has 288 divisors, whose sum is σ = 71820521942400. Its totient is φ = 5248286208000.

The previous prime is 22201420431299. The next prime is 22201420431317. The reversal of 22201420431300 is 313402410222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279896046 + ... + 279975354.

It is an arithmetic number, because the mean of its divisors is an integer number (249376812300).

Almost surely, 2^{22201420431300} is an apocalyptic number.

22201420431300 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 22201420431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35910260971200).

22201420431300 is an abundant number, since it is smaller than the sum of its proper divisors (49619101511100).

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

22201420431300 is a wasteful number, since it uses less digits than its factorization.

22201420431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81447 (or 81440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22201420431300 its reverse (313402410222), we get a palindrome (22514822841522).

The spelling of 22201420431300 in words is "twenty-two trillion, two hundred one billion, four hundred twenty million, four hundred thirty-one thousand, three hundred".