133022120000 has 280 divisors, whose sum is σ = 411253106880. Its totient is φ = 41460480000.

The previous prime is 133022119987. The next prime is 133022120029. The reversal of 133022120000 is 21220331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3058406 + ... + 3101594.

It is an arithmetic number, because the mean of its divisors is an integer number (1468761096).

Almost surely, 2^133022120000 is an apocalyptic number.

133022120000 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 133022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205626553440).

133022120000 is an abundant number, since it is smaller than the sum of its proper divisors (278230986880).

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

133022120000 is an equidigital number, since it uses as much as digits as its factorization.

133022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43239 (or 43214 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 133022120000 its reverse (21220331), we get a palindrome (133043340331).

The spelling of 133022120000 in words is "one hundred thirty-three billion, twenty-two million, one hundred twenty thousand".