34212442000133 has 8 divisors (see below), whose sum is σ = 34353833992920. Its totient is φ = 34071155253760.

The previous prime is 34212442000129. The next prime is 34212442000153. The reversal of 34212442000133 is 33100024421243.

It can be written as a sum of positive squares in 4 ways, for example, as 10522640675044 + 23689801325089 = 3243862^2 + 4867217^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34212442000133 - 2² = 34212442000129 is a prime.

It is a super-2 number, since 2×34212442000133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34212442000096 and 34212442000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212442000153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25660088 + ... + 26960433.

It is an arithmetic number, because the mean of its divisors is an integer number (4294229249115).

Almost surely, 2^{34212442000133} is an apocalyptic number.

It is an amenable number.

34212442000133 is a deficient number, since it is larger than the sum of its proper divisors (141391992787).

34212442000133 is a wasteful number, since it uses less digits than its factorization.

34212442000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52623207.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34212442000133 its reverse (33100024421243), we get a palindrome (67312466421376).

The spelling of 34212442000133 in words is "thirty-four trillion, two hundred twelve billion, four hundred forty-two million, one hundred thirty-three", and thus it is an aban number.