11000301220120 has 128 divisors (see below), whose sum is σ = 26765681342400. Its totient is φ = 4053856813056.

The previous prime is 11000301220091. The next prime is 11000301220241. The reversal of 11000301220120 is 2102210300011.

It is a self number, because there is not a number n which added to its sum of digits gives 11000301220120.

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 31 ways as a sum of consecutive naturals, for example, 5257912 + ... + 7046008.

Almost surely, 2^{11000301220120} is an apocalyptic number.

11000301220120 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 11000301220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382840671200).

11000301220120 is an abundant number, since it is smaller than the sum of its proper divisors (15765380122280).

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

11000301220120 is a wasteful number, since it uses less digits than its factorization.

11000301220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788317 (or 1788313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11000301220120 its reverse (2102210300011), we get a palindrome (13102511520131).

The spelling of 11000301220120 in words is "eleven trillion, three hundred one million, two hundred twenty thousand, one hundred twenty".