3112111002000 has 1920 divisors, whose sum is σ = 14142589673472. Its totient is φ = 570645504000.

The previous prime is 3112111001999. The next prime is 3112111002017. The reversal of 3112111002000 is 2001112113.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1795793134 + ... + 1795794866.

Almost surely, 2^{3112111002000} is an apocalyptic number.

3112111002000 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 3112111002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071294836736).

3112111002000 is an abundant number, since it is smaller than the sum of its proper divisors (11030478671472).

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

3112111002000 is a wasteful number, since it uses less digits than its factorization.

3112111002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1797 counting only the distinct ones).

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

Adding to 3112111002000 its reverse (2001112113), we get a palindrome (3114112114113).

The spelling of 3112111002000 in words is "three trillion, one hundred twelve billion, one hundred eleven million, two thousand".