3066098112000 has 1920 divisors, whose sum is σ = 13971880885248. Its totient is φ = 627720192000.

The previous prime is 3066098111977. The next prime is 3066098112019. The reversal of 3066098112000 is 2118906603.

3066098112000 is a `hidden beast` number, since 30 + 6 + 609 + 8 + 1 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3237695527 + ... + 3237696473.

Almost surely, 2^{3066098112000} is an apocalyptic number.

3066098112000 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 3066098112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985940442624).

3066098112000 is an abundant number, since it is smaller than the sum of its proper divisors (10905782773248).

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

3066098112000 is a wasteful number, since it uses less digits than its factorization.

3066098112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 3066098112000 in words is "three trillion, sixty-six billion, ninety-eight million, one hundred twelve thousand".