11001302012120 has 288 divisors, whose sum is σ = 29688220971360. Its totient is φ = 3594015129600.

The previous prime is 11001302012111. The next prime is 11001302012159. The reversal of 11001302012120 is 2121020310011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11001302012095 and 11001302012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870281000 + ... + 870293640.

It is an arithmetic number, because the mean of its divisors is an integer number (103084100595).

Almost surely, 2^{11001302012120} is an apocalyptic number.

11001302012120 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 11001302012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844110485680).

11001302012120 is an abundant number, since it is smaller than the sum of its proper divisors (18686918959240).

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

11001302012120 is a wasteful number, since it uses less digits than its factorization.

11001302012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11001302012120 its reverse (2121020310011), we get a palindrome (13122322322131).

The spelling of 11001302012120 in words is "eleven trillion, one billion, three hundred two million, twelve thousand, one hundred twenty".