133233012000 has 1152 divisors, whose sum is σ = 567174037248. Its totient is φ = 30357504000.

The previous prime is 133233011993. The next prime is 133233012013. The reversal of 133233012000 is 210332331.

133233012000 is a `hidden beast` number, since 1 + 332 + 330 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181763634 + ... + 181764366.

It is an arithmetic number, because the mean of its divisors is an integer number (492338574).

Almost surely, 2^133233012000 is an apocalyptic number.

133233012000 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 133233012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283587018624).

133233012000 is an abundant number, since it is smaller than the sum of its proper divisors (433941025248).

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

133233012000 is a wasteful number, since it uses less digits than its factorization.

133233012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133233012000 its reverse (210332331), we get a palindrome (133443344331).

The spelling of 133233012000 in words is "one hundred thirty-three billion, two hundred thirty-three million, twelve thousand".