1286121600 has 144 divisors (see below), whose sum is σ = 4589279370. Its totient is φ = 342958080.

The previous prime is 1286121569. The next prime is 1286121601. The reversal of 1286121600 is 61216821.

It can be written as a sum of positive squares in 3 ways, for example, as 962985024 + 323136576 = 31032^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1286121601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6472 + ... + 51128.

Almost surely, 2^1286121600 is an apocalyptic number.

1286121600 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 1286121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294639685).

1286121600 is an abundant number, since it is smaller than the sum of its proper divisors (3303157770).

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

1286121600 is a wasteful number, since it uses less digits than its factorization.

1286121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44687 (or 44667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1286121600 is about 35862.5375566203. The cubic root of 1286121600 is about 1087.4951882466.

The spelling of 1286121600 in words is "one billion, two hundred eighty-six million, one hundred twenty-one thousand, six hundred".