133212000020 has 72 divisors (see below), whose sum is σ = 307579303752. Its totient is φ = 48426428160.

The previous prime is 133211999981. The next prime is 133212000037. The reversal of 133212000020 is 20000212331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15455959684 + 117756040336 = 124322^2 + 343156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133211999959 and 133212000004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11641742 + ... + 11653178.

Almost surely, 2^133212000020 is an apocalyptic number.

133212000020 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 133212000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153789651876).

133212000020 is an abundant number, since it is smaller than the sum of its proper divisors (174367303732).

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

133212000020 is a wasteful number, since it uses less digits than its factorization.

133212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16281 (or 16268 counting only the distinct ones).

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

Adding to 133212000020 its reverse (20000212331), we get a palindrome (153212212351).

The spelling of 133212000020 in words is "one hundred thirty-three billion, two hundred twelve million, twenty", and thus it is an aban number.