133120212000 has 192 divisors, whose sum is σ = 436366030464. Its totient is φ = 35477222400.

The previous prime is 133120211947. The next prime is 133120212007. The reversal of 133120212000 is 212021331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (133120212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35002099 + ... + 35005901.

It is an arithmetic number, because the mean of its divisors is an integer number (2272739742).

Almost surely, 2^133120212000 is an apocalyptic number.

133120212000 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 133120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218183015232).

133120212000 is an abundant number, since it is smaller than the sum of its proper divisors (303245818464).

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

133120212000 is a wasteful number, since it uses less digits than its factorization.

133120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133120212000 its reverse (212021331), we get a palindrome (133332233331).

The spelling of 133120212000 in words is "one hundred thirty-three billion, one hundred twenty million, two hundred twelve thousand".