3212503122400 has 288 divisors, whose sum is σ = 9614192652288. Its totient is φ = 1031438284800.

The previous prime is 3212503122379. The next prime is 3212503122401. The reversal of 3212503122400 is 42213052123.

3212503122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3212503122400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212503122401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020737 + ... + 3241663.

It is an arithmetic number, because the mean of its divisors is an integer number (33382613376).

Almost surely, 2^{3212503122400} 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 3212503122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807096326144).

3212503122400 is an abundant number, since it is smaller than the sum of its proper divisors (6401689529888).

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

3212503122400 is a wasteful number, since it uses less digits than its factorization.

3212503122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220994 (or 1220981 counting only the distinct ones).

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

Adding to 3212503122400 its reverse (42213052123), we get a palindrome (3254716174523).

The spelling of 3212503122400 in words is "three trillion, two hundred twelve billion, five hundred three million, one hundred twenty-two thousand, four hundred".