1248987616200 has 960 divisors, whose sum is σ = 4690956188160. Its totient is φ = 307217940480.

The previous prime is 1248987616159. The next prime is 1248987616211. The reversal of 1248987616200 is 26167898421.

It is a happy number.

1248987616200 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 9 + 8 + 7 + 6 + 1 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1278390112 + ... + 1278391088.

It is an arithmetic number, because the mean of its divisors is an integer number (4886412696).

Almost surely, 2^{1248987616200} is an apocalyptic number.

1248987616200 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 1248987616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345478094080).

1248987616200 is an abundant number, since it is smaller than the sum of its proper divisors (3441968571960).

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

1248987616200 is a wasteful number, since it uses less digits than its factorization.

1248987616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1248987616200 in words is "one trillion, two hundred forty-eight billion, nine hundred eighty-seven million, six hundred sixteen thousand, two hundred".