22001120002008 has 384 divisors, whose sum is σ = 70099473600000. Its totient is φ = 6103908016128.

The previous prime is 22001120001979. The next prime is 22001120002009. The reversal of 22001120002008 is 80020002110022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001120002009) 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, 3569868735 + ... + 3569874897.

It is an arithmetic number, because the mean of its divisors is an integer number (182550712500).

Almost surely, 2^{22001120002008} is an apocalyptic number.

22001120002008 is a gapful number since it is divisible by the number (28) 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 22001120002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35049736800000).

22001120002008 is an abundant number, since it is smaller than the sum of its proper divisors (48098353597992).

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

22001120002008 is a wasteful number, since it uses less digits than its factorization.

22001120002008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 22001120002008 in words is "twenty-two trillion, one billion, one hundred twenty million, two thousand, eight".