3142213004000 has 288 divisors, whose sum is σ = 9089144247456. Its totient is φ = 1064344780800.

The previous prime is 3142213003999. The next prime is 3142213004023. The reversal of 3142213004000 is 4003122413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16171424 + ... + 16364576.

It is an arithmetic number, because the mean of its divisors is an integer number (31559528637).

Almost surely, 2^{3142213004000} 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 3142213004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544572123728).

3142213004000 is an abundant number, since it is smaller than the sum of its proper divisors (5946931243456).

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

3142213004000 is a wasteful number, since it uses less digits than its factorization.

3142213004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193275 (or 193250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3142213004000 its reverse (4003122413), we get a palindrome (3146216126413).

The spelling of 3142213004000 in words is "three trillion, one hundred forty-two billion, two hundred thirteen million, four thousand".