22224111014000 has 240 divisors, whose sum is σ = 62519957529120. Its totient is φ = 7618656460800.

The previous prime is 22224111013997. The next prime is 22224111014041. The reversal of 22224111014000 is 41011142222.

It is a super-2 number, since 2×22224111014000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172952527 + ... + 1172971473.

It is an arithmetic number, because the mean of its divisors is an integer number (260499823038).

Almost surely, 2^{22224111014000} is an apocalyptic number.

22224111014000 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 22224111014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31259978764560).

22224111014000 is an abundant number, since it is smaller than the sum of its proper divisors (40295846515120).

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

22224111014000 is a wasteful number, since it uses less digits than its factorization.

22224111014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30953 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22224111014000 its reverse (41011142222), we get a palindrome (22265122156222).

The spelling of 22224111014000 in words is "twenty-two trillion, two hundred twenty-four billion, one hundred eleven million, fourteen thousand".