133212111133200 has 480 divisors, whose sum is σ = 469319310724992. Its totient is φ = 32030982144000.

The previous prime is 133212111133193. The next prime is 133212111133249. The reversal of 133212111133200 is 2331111212331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 858463620 + ... + 858618780.

Almost surely, 2^{133212111133200} is an apocalyptic number.

133212111133200 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 133212111133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234659655362496).

133212111133200 is an abundant number, since it is smaller than the sum of its proper divisors (336107199591792).

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

133212111133200 is a wasteful number, since it uses less digits than its factorization.

133212111133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155723 (or 155712 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133212111133200 its reverse (2331111212331), we get a palindrome (135543222345531).

The spelling of 133212111133200 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred eleven million, one hundred thirty-three thousand, two hundred".