1122293578560 has 448 divisors, whose sum is σ = 4562613135360. Its totient is φ = 226900500480.

The previous prime is 1122293578543. The next prime is 1122293578561. The reversal of 1122293578560 is 658753922211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122293578561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2529871 + ... + 2940209.

It is an arithmetic number, because the mean of its divisors is an integer number (10184404320).

Almost surely, 2^{1122293578560} is an apocalyptic number.

1122293578560 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 1122293578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281306567680).

1122293578560 is an abundant number, since it is smaller than the sum of its proper divisors (3440319556800).

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

1122293578560 is a wasteful number, since it uses less digits than its factorization.

1122293578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410414 (or 410404 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1122293578560 in words is "one trillion, one hundred twenty-two billion, two hundred ninety-three million, five hundred seventy-eight thousand, five hundred sixty".