3213123132400 has 60 divisors (see below), whose sum is σ = 7725546339192. Its totient is φ = 1284247294720.

The previous prime is 3213123132389. The next prime is 3213123132433. The reversal of 3213123132400 is 42313213123.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617279 + ... + 3643678.

Almost surely, 2^{3213123132400} is an apocalyptic number.

It is an amenable number.

3213123132400 is an abundant number, since it is smaller than the sum of its proper divisors (4512423206792).

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

3213123132400 is a wasteful number, since it uses less digits than its factorization.

3213123132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262258 (or 6262247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3213123132400 its reverse (42313213123), we get a palindrome (3255436345523).

The spelling of 3213123132400 in words is "three trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, four hundred".