1143431128200 has 192 divisors, whose sum is σ = 3753951160320. Its totient is φ = 286917120000.

The previous prime is 1143431128187. The next prime is 1143431128267. The reversal of 1143431128200 is 28211343411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64261305 + ... + 64279095.

It is an arithmetic number, because the mean of its divisors is an integer number (19551828960).

Almost surely, 2^{1143431128200} is an apocalyptic number.

1143431128200 is a gapful number since it is divisible by the number (10) 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 1143431128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876975580160).

1143431128200 is an abundant number, since it is smaller than the sum of its proper divisors (2610520032120).

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

1143431128200 is a wasteful number, since it uses less digits than its factorization.

1143431128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24128 (or 24119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1143431128200 in words is "one trillion, one hundred forty-three billion, four hundred thirty-one million, one hundred twenty-eight thousand, two hundred".