133201222000 has 640 divisors, whose sum is σ = 431000414208. Its totient is φ = 38541312000.

The previous prime is 133201221997. The next prime is 133201222043. The reversal of 133201222000 is 222102331.

It is a super-3 number, since 3×133201222000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217293694 + ... + 217294306.

Almost surely, 2^133201222000 is an apocalyptic number.

133201222000 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 133201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215500207104).

133201222000 is an abundant number, since it is smaller than the sum of its proper divisors (297799192208).

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

133201222000 is a wasteful number, since it uses less digits than its factorization.

133201222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 133201222000 its reverse (222102331), we get a palindrome (133423324331).

The spelling of 133201222000 in words is "one hundred thirty-three billion, two hundred one million, two hundred twenty-two thousand".