120011111011110 has 512 divisors, whose sum is σ = 324492402364416. Its totient is φ = 28163358720000.

The previous prime is 120011111011069. The next prime is 120011111011139. The reversal of 120011111011110 is 11110111110021.

It is a super-2 number, since 2×120011111011110² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 140036301802 + ... + 140036302658.

It is an arithmetic number, because the mean of its divisors is an integer number (633774223368).

Almost surely, 2^{120011111011110} is an apocalyptic number.

120011111011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011111011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162246201182208).

120011111011110 is an abundant number, since it is smaller than the sum of its proper divisors (204481291353306).

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

120011111011110 is a wasteful number, since it uses less digits than its factorization.

120011111011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 120011111011110 its reverse (11110111110021), we get a palindrome (131121222121131).

It can be divided in two parts, 1200111 and 11011110, that added together give a palindrome (12211221).

The spelling of 120011111011110 in words is "one hundred twenty trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred ten".