1121508218880 has 1728 divisors, whose sum is σ = 4831196348160. Its totient is φ = 244372930560.

The previous prime is 1121508218851. The next prime is 1121508218899. The reversal of 1121508218880 is 888128051211.

It is a happy number.

1121508218880 is a `hidden beast` number, since 1 + 121 + 508 + 2 + 18 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16738928607 + ... + 16738928673.

It is an arithmetic number, because the mean of its divisors is an integer number (2795831220).

Almost surely, 2^{1121508218880} is an apocalyptic number.

1121508218880 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 1121508218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415598174080).

1121508218880 is an abundant number, since it is smaller than the sum of its proper divisors (3709688129280).

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

1121508218880 is an frugal number, since it uses more digits than its factorization.

1121508218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 45.

The spelling of 1121508218880 in words is "one trillion, one hundred twenty-one billion, five hundred eight million, two hundred eighteen thousand, eight hundred eighty".