22119801600 has 648 divisors, whose sum is σ = 83905848432. Its totient is φ = 5111808000.

The previous prime is 22119801589. The next prime is 22119801611. The reversal of 22119801600 is 610891122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22119801589) and next prime (22119801611).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55161400 + ... + 55161800.

It is an arithmetic number, because the mean of its divisors is an integer number (129484334).

Almost surely, 2^22119801600 is an apocalyptic number.

22119801600 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 22119801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41952924216).

22119801600 is an abundant number, since it is smaller than the sum of its proper divisors (61786046832).

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

22119801600 is a wasteful number, since it uses less digits than its factorization.

22119801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 22119801600 in words is "twenty-two billion, one hundred nineteen million, eight hundred one thousand, six hundred".