3005121350412 has 48 divisors (see below), whose sum is σ = 7836090403680. Its totient is φ = 995916896064.

The previous prime is 3005121350401. The next prime is 3005121350563. The reversal of 3005121350412 is 2140531215003.

3005121350412 is a `hidden beast` number, since 3 + 0 + 0 + 512 + 135 + 0 + 4 + 12 = 666.

It is a super-3 number, since 3×3005121350412³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80400963 + ... + 80438330.

It is an arithmetic number, because the mean of its divisors is an integer number (163251883410).

Almost surely, 2^{3005121350412} is an apocalyptic number.

It is an amenable number.

3005121350412 is an abundant number, since it is smaller than the sum of its proper divisors (4830969053268).

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

3005121350412 is a wasteful number, since it uses less digits than its factorization.

3005121350412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160839479 (or 160839471 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 3005121350412 its reverse (2140531215003), we get a palindrome (5145652565415).

It can be divided in two parts, 3005121 and 350412, that added together give a palindrome (3355533).

The spelling of 3005121350412 in words is "three trillion, five billion, one hundred twenty-one million, three hundred fifty thousand, four hundred twelve".