1121780088 has 432 divisors, whose sum is σ = 3943906200. Its totient is φ = 285143040.

The previous prime is 1121780047. The next prime is 1121780141. The reversal of 1121780088 is 8800871211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38682058 + ... + 38682086.

Almost surely, 2^1121780088 is an apocalyptic number.

1121780088 is a gapful number since it is divisible by the number (18) 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 1121780088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971953100).

1121780088 is an abundant number, since it is smaller than the sum of its proper divisors (2822126112).

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

1121780088 is a wasteful number, since it uses less digits than its factorization.

1121780088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 1121780088 is about 33492.9856537156. The cubic root of 1121780088 is about 1039.0487134582.

The spelling of 1121780088 in words is "one billion, one hundred twenty-one million, seven hundred eighty thousand, eighty-eight".