1127219200 has 126 divisors (see below), whose sum is σ = 2860513964. Its totient is φ = 440401920.

The previous prime is 1127219129. The next prime is 1127219201. The reversal of 1127219200 is 29127211.

1127219200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1127219201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26214379 + ... + 26214421.

Almost surely, 2^1127219200 is an apocalyptic number.

1127219200 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 1127219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430256982).

1127219200 is an abundant number, since it is smaller than the sum of its proper divisors (1733294764).

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

1127219200 is an frugal number, since it uses more digits than its factorization.

1127219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1127219200 is about 33574.0852444262. The cubic root of 1127219200 is about 1040.7253322747.

The spelling of 1127219200 in words is "one billion, one hundred twenty-seven million, two hundred nineteen thousand, two hundred".