1290912000 has 576 divisors, whose sum is σ = 5234471424. Its totient is φ = 275251200.

The previous prime is 1290911969. The next prime is 1290912001. The reversal of 1290912000 is 2190921.

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

It is not an unprimeable number, because it can be changed into a prime (1290912001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423944 + ... + 11424056.

It is an arithmetic number, because the mean of its divisors is an integer number (9087624).

Almost surely, 2^1290912000 is an apocalyptic number.

1290912000 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 1290912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617235712).

1290912000 is an abundant number, since it is smaller than the sum of its proper divisors (3943559424).

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

1290912000 is a wasteful number, since it uses less digits than its factorization.

1290912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1290912000 is about 35929.2638388264. The cubic root of 1290912000 is about 1088.8437083079.

The spelling of 1290912000 in words is "one billion, two hundred ninety million, nine hundred twelve thousand".