22300411222240 has 192 divisors, whose sum is σ = 54395561586240. Its totient is φ = 8635913994240.

The previous prime is 22300411222207. The next prime is 22300411222241. The reversal of 22300411222240 is 4222211400322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300411222241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 217860352 + ... + 217962688.

It is an arithmetic number, because the mean of its divisors is an integer number (283310216595).

Almost surely, 2^{22300411222240} is an apocalyptic number.

22300411222240 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 22300411222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197780793120).

22300411222240 is an abundant number, since it is smaller than the sum of its proper divisors (32095150364000).

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

22300411222240 is a wasteful number, since it uses less digits than its factorization.

22300411222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102765 (or 102757 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22300411222240 its reverse (4222211400322), we get a palindrome (26522622622562).

The spelling of 22300411222240 in words is "twenty-two trillion, three hundred billion, four hundred eleven million, two hundred twenty-two thousand, two hundred forty".