3211931066112 has 720 divisors, whose sum is σ = 10518574961664. Its totient is φ = 970444800000.

The previous prime is 3211931066107. The next prime is 3211931066159. The reversal of 3211931066112 is 2116601391123.

3211931066112 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 9 + 31 + 0 + 6 + 611 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2742895287 + ... + 2742896457.

Almost surely, 2^{3211931066112} is an apocalyptic number.

3211931066112 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 3211931066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259287480832).

3211931066112 is an abundant number, since it is smaller than the sum of its proper divisors (7306643895552).

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

3211931066112 is a wasteful number, since it uses less digits than its factorization.

3211931066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 3211931066112 in words is "three trillion, two hundred eleven billion, nine hundred thirty-one million, sixty-six thousand, one hundred twelve".