3200110212000 has 768 divisors, whose sum is σ = 11719536192000. Its totient is φ = 757938585600.

The previous prime is 3200110211981. The next prime is 3200110212023. The reversal of 3200110212000 is 2120110023.

3200110212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 1524586951 + ... + 1524589049.

It is an arithmetic number, because the mean of its divisors is an integer number (15259812750).

Almost surely, 2^{3200110212000} is an apocalyptic number.

3200110212000 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 3200110212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859768096000).

3200110212000 is an abundant number, since it is smaller than the sum of its proper divisors (8519425980000).

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

3200110212000 is a wasteful number, since it uses less digits than its factorization.

3200110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2488 counting only the distinct ones).

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

Adding to 3200110212000 its reverse (2120110023), we get a palindrome (3202230322023).

The spelling of 3200110212000 in words is "three trillion, two hundred billion, one hundred ten million, two hundred twelve thousand".