3224142121200 has 1440 divisors, whose sum is σ = 14171905440000. Its totient is φ = 615908966400.

The previous prime is 3224142121177. The next prime is 3224142121223. The reversal of 3224142121200 is 21212414223.

It is an interprime number because it is at equal distance from previous prime (3224142121177) and next prime (3224142121223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2581378176 + ... + 2581379424.

It is an arithmetic number, because the mean of its divisors is an integer number (9841601000).

Almost surely, 2^{3224142121200} is an apocalyptic number.

3224142121200 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 3224142121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085952720000).

3224142121200 is an abundant number, since it is smaller than the sum of its proper divisors (10947763318800).

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

3224142121200 is a wasteful number, since it uses less digits than its factorization.

3224142121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3224142121200 its reverse (21212414223), we get a palindrome (3245354535423).

The spelling of 3224142121200 in words is "three trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred twenty-one thousand, two hundred".