3001211112000 has 112 divisors (see below), whose sum is σ = 9909999171072. Its totient is φ = 800322956800.

The previous prime is 3001211111959. The next prime is 3001211112079. The reversal of 3001211112000 is 2111121003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62501232 + ... + 62549231.

It is an arithmetic number, because the mean of its divisors is an integer number (88482135456).

Almost surely, 2^{3001211112000} is an apocalyptic number.

3001211112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001211112000 is an abundant number, since it is smaller than the sum of its proper divisors (6908788059072).

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

3001211112000 is a wasteful number, since it uses less digits than its factorization.

3001211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125050493 (or 125050473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 3001211112000 its reverse (2111121003), we get a palindrome (3003322233003).

The spelling of 3001211112000 in words is "three trillion, one billion, two hundred eleven million, one hundred twelve thousand".