3212530144000 has 144 divisors (see below), whose sum is σ = 8015121747360. Its totient is φ = 1283035852800.

The previous prime is 3212530143959. The next prime is 3212530144001. The reversal of 3212530144000 is 4410352123.

It is a super-2 number, since 2×3212530144000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3212530144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20819131 + ... + 20972869.

It is an arithmetic number, because the mean of its divisors is an integer number (55660567690).

Almost surely, 2^{3212530144000} 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 3212530144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007560873680).

3212530144000 is an abundant number, since it is smaller than the sum of its proper divisors (4802591603360).

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

3212530144000 is an equidigital number, since it uses as much as digits as its factorization.

3212530144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154423 (or 154399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3212530144000 its reverse (4410352123), we get a palindrome (3216940496123).

The spelling of 3212530144000 in words is "three trillion, two hundred twelve billion, five hundred thirty million, one hundred forty-four thousand".