20133212000 has 192 divisors, whose sum is σ = 54209046528. Its totient is φ = 7288000000.

The previous prime is 20133211999. The next prime is 20133212009. The reversal of 20133212000 is 21233102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11043089 + ... + 11044911.

It is an arithmetic number, because the mean of its divisors is an integer number (282338784).

Almost surely, 2^20133212000 is an apocalyptic number.

20133212000 is a gapful number since it is divisible by the number (20) 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 20133212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104523264).

20133212000 is an abundant number, since it is smaller than the sum of its proper divisors (34075834528).

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

20133212000 is a wasteful number, since it uses less digits than its factorization.

20133212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2092 counting only the distinct ones).

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

Adding to 20133212000 its reverse (21233102), we get a palindrome (20154445102).

The spelling of 20133212000 in words is "twenty billion, one hundred thirty-three million, two hundred twelve thousand".