3213132312000 has 448 divisors, whose sum is σ = 11452413772800. Its totient is φ = 789089587200.

The previous prime is 3213132311971. The next prime is 3213132312023. The reversal of 3213132312000 is 2132313123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136956271 + ... + 136979729.

It is an arithmetic number, because the mean of its divisors is an integer number (25563423600).

Almost surely, 2^{3213132312000} is an apocalyptic number.

3213132312000 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 3213132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726206886400).

3213132312000 is an abundant number, since it is smaller than the sum of its proper divisors (8239281460800).

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

3213132312000 is a wasteful number, since it uses less digits than its factorization.

3213132312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3213132312000 its reverse (2132313123), we get a palindrome (3215264625123).

The spelling of 3213132312000 in words is "three trillion, two hundred thirteen billion, one hundred thirty-two million, three hundred twelve thousand".