1293115200 has 672 divisors, whose sum is σ = 5143170816. Its totient is φ = 281149440.

The previous prime is 1293115199. The next prime is 1293115237. The reversal of 1293115200 is 25113921.

1293115200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24398374 + ... + 24398426.

It is an arithmetic number, because the mean of its divisors is an integer number (7653528).

Almost surely, 2^1293115200 is an apocalyptic number.

1293115200 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 1293115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571585408).

1293115200 is an abundant number, since it is smaller than the sum of its proper divisors (3850055616).

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

1293115200 is a wasteful number, since it uses less digits than its factorization.

1293115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1293115200 is about 35959.9110121257. The cubic root of 1293115200 is about 1089.4627995635.

The spelling of 1293115200 in words is "one billion, two hundred ninety-three million, one hundred fifteen thousand, two hundred".