33612516121 has 8 divisors (see below), whose sum is σ = 33874001640. Its totient is φ = 33351264768.

The previous prime is 33612516109. The next prime is 33612516137. The reversal of 33612516121 is 12161521633.

It can be written as a sum of positive squares in 4 ways, for example, as 2754675225 + 30857840896 = 52485^2 + 175664^2 .

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 33612516121 - 2¹¹ = 33612514073 is a prime.

It is a super-2 number, since 2×33612516121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33612526121) 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, 235365 + ... + 350173.

It is an arithmetic number, because the mean of its divisors is an integer number (4234250205).

Almost surely, 2^33612516121 is an apocalyptic number.

It is an amenable number.

33612516121 is a deficient number, since it is larger than the sum of its proper divisors (261485519).

33612516121 is a wasteful number, since it uses less digits than its factorization.

33612516121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117083.

The product of its digits is 6480, while the sum is 31.

The spelling of 33612516121 in words is "thirty-three billion, six hundred twelve million, five hundred sixteen thousand, one hundred twenty-one".