1127218680 has 192 divisors, whose sum is σ = 4342141440. Its totient is φ = 257634432.

The previous prime is 1127218663. The next prime is 1127218723. The reversal of 1127218680 is 868127211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59757 + ... + 76323.

It is an arithmetic number, because the mean of its divisors is an integer number (22615320).

Almost surely, 2^1127218680 is an apocalyptic number.

1127218680 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 1127218680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171070720).

1127218680 is an abundant number, since it is smaller than the sum of its proper divisors (3214922760).

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

1127218680 is a wasteful number, since it uses less digits than its factorization.

1127218680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1127218680 is about 33574.0775003573. The cubic root of 1127218680 is about 1040.7251722415.

The spelling of 1127218680 in words is "one billion, one hundred twenty-seven million, two hundred eighteen thousand, six hundred eighty".