11111222410120 has 256 divisors, whose sum is σ = 30260160921600. Its totient is φ = 3586932771840.

The previous prime is 11111222410051. The next prime is 11111222410201. The reversal of 11111222410120 is 2101422211111.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297580959 + ... + 1297589521.

It is an arithmetic number, because the mean of its divisors is an integer number (118203753600).

Almost surely, 2^{11111222410120} is an apocalyptic number.

11111222410120 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 11111222410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080460800).

11111222410120 is an abundant number, since it is smaller than the sum of its proper divisors (19148938511480).

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

11111222410120 is a wasteful number, since it uses less digits than its factorization.

11111222410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 11111222410120 its reverse (2101422211111), we get a palindrome (13212644621231).

The spelling of 11111222410120 in words is "eleven trillion, one hundred eleven billion, two hundred twenty-two million, four hundred ten thousand, one hundred twenty".