22133055443200 has 432 divisors, whose sum is σ = 61614224937216. Its totient is φ = 7810250342400.

The previous prime is 22133055443189. The next prime is 22133055443201. The reversal of 22133055443200 is 234455033122.

It is not an unprimeable number, because it can be changed into a prime (22133055443201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615886970 + ... + 2615895430.

It is an arithmetic number, because the mean of its divisors is an integer number (142625520688).

Almost surely, 2^{22133055443200} is an apocalyptic number.

22133055443200 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 22133055443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30807112468608).

22133055443200 is an abundant number, since it is smaller than the sum of its proper divisors (39481169494016).

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

22133055443200 is a wasteful number, since it uses less digits than its factorization.

22133055443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9871 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 22133055443200 in words is "twenty-two trillion, one hundred thirty-three billion, fifty-five million, four hundred forty-three thousand, two hundred".