3212011013200 has 240 divisors, whose sum is σ = 8552371988160. Its totient is φ = 1149548544000.

The previous prime is 3212011013191. The next prime is 3212011013201. The reversal of 3212011013200 is 23101102123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212011013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77230011 + ... + 77271589.

It is an arithmetic number, because the mean of its divisors is an integer number (35634883284).

Almost surely, 2^{3212011013200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212011013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276185994080).

3212011013200 is an abundant number, since it is smaller than the sum of its proper divisors (5340360974960).

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

3212011013200 is a wasteful number, since it uses less digits than its factorization.

3212011013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886 (or 41875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3212011013200 its reverse (23101102123), we get a palindrome (3235112115323).

The spelling of 3212011013200 in words is "three trillion, two hundred twelve billion, eleven million, thirteen thousand, two hundred".