1292200560 has 480 divisors, whose sum is σ = 5368852800. Its totient is φ = 284497920.

The previous prime is 1292200519. The next prime is 1292200561. The reversal of 1292200560 is 650022921.

1292200560 is a `hidden beast` number, since 12 + 92 + 2 + 0 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292200561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069150 + ... + 3069570.

It is an arithmetic number, because the mean of its divisors is an integer number (11185110).

Almost surely, 2^1292200560 is an apocalyptic number.

1292200560 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 1292200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684426400).

1292200560 is an abundant number, since it is smaller than the sum of its proper divisors (4076652240).

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

1292200560 is a wasteful number, since it uses less digits than its factorization.

1292200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1292200560 is about 35947.1912671908. The cubic root of 1292200560 is about 1089.2058744559.

The spelling of 1292200560 in words is "one billion, two hundred ninety-two million, two hundred thousand, five hundred sixty".