1121527680 has 512 divisors, whose sum is σ = 4523904000. Its totient is φ = 234823680.

The previous prime is 1121527661. The next prime is 1121527681. The reversal of 1121527680 is 867251211.

1121527680 = T₂₂₅ + T₂₂₆ + ... + T₁₈₈₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121527681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561215 + ... + 8561345.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2^1121527680 is an apocalyptic number.

1121527680 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 1121527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1121527680 is an abundant number, since it is smaller than the sum of its proper divisors (3402376320).

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

1121527680 is a wasteful number, since it uses less digits than its factorization.

1121527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1121527680 is about 33489.2173691772. The cubic root of 1121527680 is about 1038.9707766494.

Adding to 1121527680 its reverse (867251211), we get a palindrome (1988778891).

The spelling of 1121527680 in words is "one billion, one hundred twenty-one million, five hundred twenty-seven thousand, six hundred eighty".