11251311120 has 720 divisors, whose sum is σ = 47022633216. Its totient is φ = 2356992000.

The previous prime is 11251311107. The next prime is 11251311121. The reversal of 11251311120 is 2111315211.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11251311093 and 11251311102.

It is not an unprimeable number, because it can be changed into a prime (11251311121) 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 143 ways as a sum of consecutive naturals, for example, 111399070 + ... + 111399170.

Almost surely, 2^11251311120 is an apocalyptic number.

11251311120 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 11251311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23511316608).

11251311120 is an abundant number, since it is smaller than the sum of its proper divisors (35771322096).

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

11251311120 is a wasteful number, since it uses less digits than its factorization.

11251311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 11251311120 its reverse (2111315211), we get a palindrome (13362626331).

The spelling of 11251311120 in words is "eleven billion, two hundred fifty-one million, three hundred eleven thousand, one hundred twenty".