1121636880 has 960 divisors, whose sum is σ = 5264663040. Its totient is φ = 207028224.

The previous prime is 1121636869. The next prime is 1121636881. The reversal of 1121636880 is 886361211.

1121636880 = T₃₃ + T₃₄ + ... + T₁₈₈₇.

1121636880 is a `hidden beast` number, since 1 + 1 + 216 + 368 + 80 = 666.

It is a super-2 number, since 2×1121636880² = 2516138581152268800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1121636881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162934 + ... + 21162986.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^1121636880 is an apocalyptic number.

1121636880 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 1121636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632331520).

1121636880 is an abundant number, since it is smaller than the sum of its proper divisors (4143026160).

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

1121636880 is a wasteful number, since it uses less digits than its factorization.

1121636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1121636880 is about 33490.8477050074. The cubic root of 1121636880 is about 1039.0044961105.

The spelling of 1121636880 in words is "one billion, one hundred twenty-one million, six hundred thirty-six thousand, eight hundred eighty".