1127720000 has 210 divisors, whose sum is σ = 3086897814. Its totient is φ = 408320000.

The previous prime is 1127719997. The next prime is 1127720017. The reversal of 1127720000 is 277211.

It can be written as a sum of positive squares in 5 ways, for example, as 620209216 + 507510784 = 24904^2 + 22528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4839884 + ... + 4840116.

Almost surely, 2^1127720000 is an apocalyptic number.

1127720000 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 1127720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543448907).

1127720000 is an abundant number, since it is smaller than the sum of its proper divisors (1959177814).

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

1127720000 is an equidigital number, since it uses as much as digits as its factorization.

1127720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1127720000 is about 33581.5425494422. The cubic root of 1127720000 is about 1040.8794336479.

Adding to 1127720000 its reverse (277211), we get a palindrome (1127997211).

It can be divided in two parts, 1127 and 720000, that added together give a palindrome (721127).

The spelling of 1127720000 in words is "one billion, one hundred twenty-seven million, seven hundred twenty thousand".