1248128128 has 32 divisors (see below), whose sum is σ = 2677778460. Its totient is φ = 576058368.

The previous prime is 1248128113. The next prime is 1248128131. The reversal of 1248128128 is 8218218421.

It can be written as a sum of positive squares in 2 ways, for example, as 1206033984 + 42094144 = 34728^2 + 6488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373375 + ... + 376702.

Almost surely, 2^1248128128 is an apocalyptic number.

It is an amenable number.

1248128128 is an abundant number, since it is smaller than the sum of its proper divisors (1429650332).

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

1248128128 is an equidigital number, since it uses as much as digits as its factorization.

1248128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750104 (or 750092 counting only the distinct ones).

The product of its digits is 16384, while the sum is 37.

The square root of 1248128128 is about 35328.8568736663. The cubic root of 1248128128 is about 1076.6793662563.

The spelling of 1248128128 in words is "one billion, two hundred forty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".