1121287394304 has 1056 divisors, whose sum is σ = 4372470604800. Its totient is φ = 275725762560.

The previous prime is 1121287394291. The next prime is 1121287394351. The reversal of 1121287394304 is 4034937821211.

1121287394304 is a `hidden beast` number, since 1 + 121 + 28 + 73 + 9 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 1121287394304.

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, 768530727 + ... + 768532185.

Almost surely, 2^{1121287394304} is an apocalyptic number.

1121287394304 is a gapful number since it is divisible by the number (14) 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 1121287394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186235302400).

1121287394304 is an abundant number, since it is smaller than the sum of its proper divisors (3251183210496).

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

1121287394304 is a wasteful number, since it uses less digits than its factorization.

1121287394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1121287394304 in words is "one trillion, one hundred twenty-one billion, two hundred eighty-seven million, three hundred ninety-four thousand, three hundred four".