1248921216 has 48 divisors (see below), whose sum is σ = 3593904210. Its totient is φ = 416306688.

The previous prime is 1248921209. The next prime is 1248921239. The reversal of 1248921216 is 6121298421.

It can be written as a sum of positive squares in only one way, i.e., 1169640000 + 79281216 = 34200^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

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 5 ways as a sum of consecutive naturals, for example, 540915 + ... + 543218.

Almost surely, 2^1248921216 is an apocalyptic number.

1248921216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1248921216 is an abundant number, since it is smaller than the sum of its proper divisors (2344982994).

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

1248921216 is a wasteful number, since it uses less digits than its factorization.

1248921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084153 (or 1084138 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1248921216 is about 35340.0794566170. The cubic root of 1248921216 is about 1076.9073665359.

The spelling of 1248921216 in words is "one billion, two hundred forty-eight million, nine hundred twenty-one thousand, two hundred sixteen".