1295126286300 has 1296 divisors, whose sum is σ = 5397098563584. Its totient is φ = 256556160000.

The previous prime is 1295126286271. The next prime is 1295126286317. The reversal of 1295126286300 is 36826215921.

1295126286300 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 1 + 2 + 6 + 2 + 8 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1067704494 + ... + 1067705706.

It is an arithmetic number, because the mean of its divisors is an integer number (4164427904).

Almost surely, 2^{1295126286300} is an apocalyptic number.

1295126286300 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 1295126286300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698549281792).

1295126286300 is an abundant number, since it is smaller than the sum of its proper divisors (4101972277284).

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

1295126286300 is a wasteful number, since it uses less digits than its factorization.

1295126286300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1295126286300 in words is "one trillion, two hundred ninety-five billion, one hundred twenty-six million, two hundred eighty-six thousand, three hundred".