11492601120 has 1728 divisors, whose sum is σ = 57597111936. Its totient is φ = 2043740160.

The previous prime is 11492601101. The next prime is 11492601121. The reversal of 11492601120 is 2110629411.

11492601120 is a `hidden beast` number, since 1 + 1 + 49 + 2 + 601 + 12 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11492601121) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 171531327 + ... + 171531393.

It is an arithmetic number, because the mean of its divisors is an integer number (33331662).

Almost surely, 2^11492601120 is an apocalyptic number.

11492601120 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 11492601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28798555968).

11492601120 is an abundant number, since it is smaller than the sum of its proper divisors (46104510816).

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

11492601120 is a wasteful number, since it uses less digits than its factorization.

11492601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11492601120 in words is "eleven billion, four hundred ninety-two million, six hundred one thousand, one hundred twenty".