3066061233312 has 1536 divisors, whose sum is σ = 12390639206400. Its totient is φ = 712754380800.

The previous prime is 3066061233311. The next prime is 3066061233331. The reversal of 3066061233312 is 2133321606603.

3066061233312 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 0 + 612 + 3 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3066061233311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8089871139 + ... + 8089871517.

It is an arithmetic number, because the mean of its divisors is an integer number (8066822400).

Almost surely, 2^{3066061233312} is an apocalyptic number.

3066061233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066061233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195319603200).

3066061233312 is an abundant number, since it is smaller than the sum of its proper divisors (9324577973088).

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

3066061233312 is a wasteful number, since it uses less digits than its factorization.

3066061233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 3066061233312 its reverse (2133321606603), we get a palindrome (5199382839915).

The spelling of 3066061233312 in words is "three trillion, sixty-six billion, sixty-one million, two hundred thirty-three thousand, three hundred twelve".