22209121267200 has 1080 divisors, whose sum is σ = 93973832667000. Its totient is φ = 4993073971200.

The previous prime is 22209121267187. The next prime is 22209121267231. The reversal of 22209121267200 is 276212190222.

It is a happy number.

It is a super-2 number, since 2×22209121267200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 344300551 + ... + 344365049.

It is an arithmetic number, because the mean of its divisors is an integer number (87012808025).

Almost surely, 2^{22209121267200} is an apocalyptic number.

22209121267200 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 22209121267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46986916333500).

22209121267200 is an abundant number, since it is smaller than the sum of its proper divisors (71764711399800).

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

22209121267200 is a wasteful number, since it uses less digits than its factorization.

22209121267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64608 (or 64577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22209121267200 in words is "twenty-two trillion, two hundred nine billion, one hundred twenty-one million, two hundred sixty-seven thousand, two hundred".