1200994560 has 576 divisors, whose sum is σ = 4709376000. Its totient is φ = 288645120.

The previous prime is 1200994547. The next prime is 1200994567. The reversal of 1200994560 is 654990021.

1200994560 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 9 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1200994567) 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 63 ways as a sum of consecutive naturals, for example, 20355811 + ... + 20355869.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^1200994560 is an apocalyptic number.

1200994560 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 1200994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354688000).

1200994560 is an abundant number, since it is smaller than the sum of its proper divisors (3508381440).

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

1200994560 is a wasteful number, since it uses less digits than its factorization.

1200994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1200994560 is about 34655.3684152975. The cubic root of 1200994560 is about 1062.9520652551.

The spelling of 1200994560 in words is "one billion, two hundred million, nine hundred ninety-four thousand, five hundred sixty".