3212201720400 has 120 divisors (see below), whose sum is σ = 10291022013984. Its totient is φ = 856481472000.

The previous prime is 3212201720383. The next prime is 3212201720419. The reversal of 3212201720400 is 40271022123.

3212201720400 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9819475 + ... + 10141325.

Almost surely, 2^{3212201720400} is an apocalyptic number.

3212201720400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3212201720400 is an abundant number, since it is smaller than the sum of its proper divisors (7078820293584).

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

3212201720400 is a wasteful number, since it uses less digits than its factorization.

3212201720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330189 (or 330178 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 3212201720400 its reverse (40271022123), we get a palindrome (3252472742523).

The spelling of 3212201720400 in words is "three trillion, two hundred twelve billion, two hundred one million, seven hundred twenty thousand, four hundred".