3212112000 has 128 divisors (see below), whose sum is σ = 10648310400. Its totient is φ = 856550400.

The previous prime is 3212111993. The next prime is 3212112019. The reversal of 3212112000 is 2112123.

3212112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 14541 + ... + 81459.

It is an arithmetic number, because the mean of its divisors is an integer number (83189925).

Almost surely, 2^3212112000 is an apocalyptic number.

3212112000 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 3212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324155200).

3212112000 is an abundant number, since it is smaller than the sum of its proper divisors (7436198400).

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

3212112000 is an equidigital number, since it uses as much as digits as its factorization.

3212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66951 (or 66929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3212112000 is about 56675.4973511481. The cubic root of 3212112000 is about 1475.4694665719.

Adding to 3212112000 its reverse (2112123), we get a palindrome (3214224123).

The spelling of 3212112000 in words is "three billion, two hundred twelve million, one hundred twelve thousand".