4312011551200 has 288 divisors, whose sum is σ = 10950951344256. Its totient is φ = 1656814172160.

The previous prime is 4312011551167. The next prime is 4312011551209. The reversal of 4312011551200 is 21551102134.

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 (4312011551209) 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, 648127074 + ... + 648133726.

It is an arithmetic number, because the mean of its divisors is an integer number (38024136612).

Almost surely, 2^{4312011551200} is an apocalyptic number.

4312011551200 is a gapful number since it is divisible by the number (40) 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 4312011551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475475672128).

4312011551200 is an abundant number, since it is smaller than the sum of its proper divisors (6638939793056).

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

4312011551200 is a wasteful number, since it uses less digits than its factorization.

4312011551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 4312011551200 its reverse (21551102134), we get a palindrome (4333562653334).

The spelling of 4312011551200 in words is "four trillion, three hundred twelve billion, eleven million, five hundred fifty-one thousand, two hundred".