3212520000 has 280 divisors, whose sum is σ = 11188293600. Its totient is φ = 811008000.

The previous prime is 3212519951. The next prime is 3212520001. The reversal of 3212520000 is 252123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3212520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2279296 + ... + 2280704.

Almost surely, 2^3212520000 is an apocalyptic number.

3212520000 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 3212520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594146800).

3212520000 is an abundant number, since it is smaller than the sum of its proper divisors (7975773600).

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

3212520000 is a wasteful number, since it uses less digits than its factorization.

3212520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3212520000 is about 56679.0966759351. The cubic root of 3212520000 is about 1475.5319349267.

Adding to 3212520000 its reverse (252123), we get a palindrome (3212772123).

It can be divided in two parts, 32125 and 20000, that added together give a palindrome (52125).

The spelling of 3212520000 in words is "three billion, two hundred twelve million, five hundred twenty thousand".