35312072106012 has 144 divisors (see below), whose sum is σ = 91910665977312. Its totient is φ = 10489161876480.

The previous prime is 35312072106011. The next prime is 35312072106097. The reversal of 35312072106012 is 21060127021353.

It is a super-3 number, since 3×35312072106012³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35312072106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335693258 + ... + 1335719694.

Almost surely, 2^{35312072106012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35312072106012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45955332988656).

35312072106012 is an abundant number, since it is smaller than the sum of its proper divisors (56598593871300).

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

35312072106012 is a wasteful number, since it uses less digits than its factorization.

35312072106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36696 (or 36665 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 35312072106012 its reverse (21060127021353), we get a palindrome (56372199127365).

The spelling of 35312072106012 in words is "thirty-five trillion, three hundred twelve billion, seventy-two million, one hundred six thousand, twelve".