3066114481200 has 300 divisors, whose sum is σ = 11074146618480. Its totient is φ = 812421342720.

The previous prime is 3066114481117. The next prime is 3066114481229. The reversal of 3066114481200 is 21844116603.

3066114481200 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 1 + 1 + 448 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4785421 + ... + 5388179.

Almost surely, 2^{3066114481200} is an apocalyptic number.

3066114481200 is a gapful number since it is divisible by the number (30) 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 3066114481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537073309240).

3066114481200 is an abundant number, since it is smaller than the sum of its proper divisors (8008032137280).

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

3066114481200 is a wasteful number, since it uses less digits than its factorization.

3066114481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602946 (or 602926 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 3066114481200 its reverse (21844116603), we get a palindrome (3087958597803).

The spelling of 3066114481200 in words is "three trillion, sixty-six billion, one hundred fourteen million, four hundred eighty-one thousand, two hundred".