1122117857280 has 936 divisors, whose sum is σ = 4619784547872. Its totient is φ = 256269090816.

The previous prime is 1122117857257. The next prime is 1122117857359. The reversal of 1122117857280 is 827587112211.

1122117857280 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 1 + 78 + 572 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940584364 + ... + 940585556.

It is an arithmetic number, because the mean of its divisors is an integer number (4935667252).

Almost surely, 2^{1122117857280} is an apocalyptic number.

1122117857280 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 1122117857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309892273936).

1122117857280 is an abundant number, since it is smaller than the sum of its proper divisors (3497666690592).

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

1122117857280 is an frugal number, since it uses more digits than its factorization.

1122117857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 1122117857280 in words is "one trillion, one hundred twenty-two billion, one hundred seventeen million, eight hundred fifty-seven thousand, two hundred eighty".