1127280000 has 640 divisors, whose sum is σ = 4741482240. Its totient is φ = 230400000.

The previous prime is 1127279981. The next prime is 1127280043. The reversal of 1127280000 is 827211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479970 + ... + 18480030.

It is an arithmetic number, because the mean of its divisors is an integer number (7408566).

Almost surely, 2^1127280000 is an apocalyptic number.

1127280000 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 1127280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370741120).

1127280000 is an abundant number, since it is smaller than the sum of its proper divisors (3614202240).

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

1127280000 is an equidigital number, since it uses as much as digits as its factorization.

1127280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1127280000 is about 33574.9906924782. The cubic root of 1127280000 is about 1040.7440435015.

The spelling of 1127280000 in words is "one billion, one hundred twenty-seven million, two hundred eighty thousand".