1122320010240 has 1056 divisors, whose sum is σ = 4598794654272. Its totient is φ = 249495552000.

The previous prime is 1122320010211. The next prime is 1122320010241. The reversal of 1122320010240 is 420100232211.

It is a happy number.

1122320010240 is a `hidden beast` number, since 1 + 1 + 223 + 200 + 1 + 0 + 240 = 666.

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

It is a super-2 number, since 2×1122320010240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1122320010241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1192688170 + ... + 1192689110.

Almost surely, 2^{1122320010240} is an apocalyptic number.

1122320010240 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 1122320010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299397327136).

1122320010240 is an abundant number, since it is smaller than the sum of its proper divisors (3476474644032).

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

1122320010240 is a wasteful number, since it uses less digits than its factorization.

1122320010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1122320010240 its reverse (420100232211), we get a palindrome (1542420242451).

The spelling of 1122320010240 in words is "one trillion, one hundred twenty-two billion, three hundred twenty million, ten thousand, two hundred forty".