133412000000 has 126 divisors (see below), whose sum is σ = 332884293714. Its totient is φ = 53363200000.

The previous prime is 133411999967. The next prime is 133412000021. The reversal of 133412000000 is 214331.

It can be written as a sum of positive squares in 7 ways, for example, as 124174483456 + 9237516544 = 352384^2 + 96112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3983324 + ... + 4016676.

It is an arithmetic number, because the mean of its divisors is an integer number (2641938839).

Almost surely, 2^133412000000 is an apocalyptic number.

133412000000 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 133412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166442146857).

133412000000 is an abundant number, since it is smaller than the sum of its proper divisors (199472293714).

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

133412000000 is an frugal number, since it uses more digits than its factorization.

133412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33399 (or 33360 counting only the distinct ones).

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

Adding to 133412000000 its reverse (214331), we get a palindrome (133412214331).

The spelling of 133412000000 in words is "one hundred thirty-three billion, four hundred twelve million", and thus it is an aban number.