1145561120 has 96 divisors (see below), whose sum is σ = 2974599936. Its totient is φ = 413440000.

The previous prime is 1145561113. The next prime is 1145561149. The reversal of 1145561120 is 211655411.

It is a self number, because there is not a number n which added to its sum of digits gives 1145561120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238745 + ... + 243495.

It is an arithmetic number, because the mean of its divisors is an integer number (30985416).

Almost surely, 2^1145561120 is an apocalyptic number.

1145561120 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 1145561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487299968).

1145561120 is an abundant number, since it is smaller than the sum of its proper divisors (1829038816).

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

1145561120 is a wasteful number, since it uses less digits than its factorization.

1145561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 1145561120 is about 33846.1389230736. The cubic root of 1145561120 is about 1046.3398242913.

It can be divided in two parts, 1145 and 561120, that added together give a palindrome (562265).

The spelling of 1145561120 in words is "one billion, one hundred forty-five million, five hundred sixty-one thousand, one hundred twenty".