133412122210240 has 112 divisors (see below), whose sum is σ = 336382367916672. Its totient is φ = 50224658333696.

The previous prime is 133412122210193. The next prime is 133412122210249. The reversal of 133412122210240 is 42012221214331.

It is a junction number, because it is equal to n+sod(n) for n = 133412122210199 and 133412122210208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133412122210249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279578889 + ... + 280055671.

It is an arithmetic number, because the mean of its divisors is an integer number (3003413999256).

Almost surely, 2^{133412122210240} is an apocalyptic number.

133412122210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133412122210240 is an abundant number, since it is smaller than the sum of its proper divisors (202970245706432).

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

133412122210240 is a wasteful number, since it uses less digits than its factorization.

133412122210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528254 (or 528244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 133412122210240 its reverse (42012221214331), we get a palindrome (175424343424571).

The spelling of 133412122210240 in words is "one hundred thirty-three trillion, four hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, two hundred forty".