7129231200 has 1296 divisors, whose sum is σ = 33303868416. Its totient is φ = 1455667200.

The previous prime is 7129231199. The next prime is 7129231229. The reversal of 7129231200 is 21329217.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 229975185 + ... + 229975215.

Almost surely, 2^7129231200 is an apocalyptic number.

7129231200 is a gapful number since it is divisible by the number (70) 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 7129231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651934208).

7129231200 is an abundant number, since it is smaller than the sum of its proper divisors (26174637216).

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

7129231200 is a wasteful number, since it uses less digits than its factorization.

7129231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7129231200 is about 84434.7748264896. The cubic root of 7129231200 is about 1924.6313973498.

The spelling of 7129231200 in words is "seven billion, one hundred twenty-nine million, two hundred thirty-one thousand, two hundred".