11101140120 has 256 divisors, whose sum is σ = 39087360000. Its totient is φ = 2521118208.

The previous prime is 11101140091. The next prime is 11101140133. The reversal of 11101140120 is 2104110111.

It is a super-2 number, since 2×11101140120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 11101140096 and 11101140105.

It is a congruent number.

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, 7119901 + ... + 7121459.

It is an arithmetic number, because the mean of its divisors is an integer number (152685000).

Almost surely, 2^11101140120 is an apocalyptic number.

11101140120 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 11101140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543680000).

11101140120 is an abundant number, since it is smaller than the sum of its proper divisors (27986219880).

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

11101140120 is a wasteful number, since it uses less digits than its factorization.

11101140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101140120 its reverse (2104110111), we get a palindrome (13205250231).

The spelling of 11101140120 in words is "eleven billion, one hundred one million, one hundred forty thousand, one hundred twenty".