1122556080240 has 2400 divisors, whose sum is σ = 5054192225280. Its totient is φ = 229314613248.

The previous prime is 1122556080227. The next prime is 1122556080307. The reversal of 1122556080240 is 420806552211.

1122556080240 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 5 + 5 + 608 + 0 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122556080195 and 1122556080204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10491178267 + ... + 10491178373.

Almost surely, 2^{1122556080240} is an apocalyptic number.

1122556080240 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 1122556080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527096112640).

1122556080240 is an abundant number, since it is smaller than the sum of its proper divisors (3931636145040).

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

1122556080240 is a wasteful number, since it uses less digits than its factorization.

1122556080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1122556080240 in words is "one trillion, one hundred twenty-two billion, five hundred fifty-six million, eighty thousand, two hundred forty".