133222213200000 has 768 divisors, whose sum is σ = 453606404832000. Its totient is φ = 34630041600000.

The previous prime is 133222213199987. The next prime is 133222213200023. The reversal of 133222213200000 is 2312222331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133222213200000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7582791216 + ... + 7582808784.

It is an arithmetic number, because the mean of its divisors is an integer number (590633339625).

Almost surely, 2^{133222213200000} is an apocalyptic number.

133222213200000 is a gapful number since it is divisible by the number (10) 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 133222213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226803202416000).

133222213200000 is an abundant number, since it is smaller than the sum of its proper divisors (320384191632000).

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

133222213200000 is an frugal number, since it uses more digits than its factorization.

133222213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17771 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133222213200000 its reverse (2312222331), we get a palindrome (133224525422331).

The spelling of 133222213200000 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, two hundred thirteen million, two hundred thousand".