22201224131016 has 768 divisors, whose sum is σ = 79451324928000. Its totient is φ = 5613570293760.

The previous prime is 22201224130979. The next prime is 22201224131029. The reversal of 22201224131016 is 61013142210222.

22201224131016 is a `hidden beast` number, since 2 + 2 + 20 + 122 + 413 + 101 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592946856 + ... + 592984296.

It is an arithmetic number, because the mean of its divisors is an integer number (103452246000).

Almost surely, 2^{22201224131016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201224131016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39725662464000).

22201224131016 is an abundant number, since it is smaller than the sum of its proper divisors (57250100796984).

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

22201224131016 is a wasteful number, since it uses less digits than its factorization.

22201224131016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37579 (or 37552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22201224131016 its reverse (61013142210222), we get a palindrome (83214366341238).

The spelling of 22201224131016 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-four million, one hundred thirty-one thousand, sixteen".