120011211111000 has 384 divisors, whose sum is σ = 411620269132800. Its totient is φ = 29090004768000.

The previous prime is 120011211110953. The next prime is 120011211111089. The reversal of 120011211111000 is 111112110021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3970841889 + ... + 3970872111.

It is an arithmetic number, because the mean of its divisors is an integer number (1071927784200).

Almost surely, 2^{120011211111000} is an apocalyptic number.

120011211111000 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 120011211111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205810134566400).

120011211111000 is an abundant number, since it is smaller than the sum of its proper divisors (291609058021800).

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

120011211111000 is a wasteful number, since it uses less digits than its factorization.

120011211111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41208 (or 41183 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 120011211111000 its reverse (111112110021), we get a palindrome (120122323221021).

The spelling of 120011211111000 in words is "one hundred twenty trillion, eleven billion, two hundred eleven million, one hundred eleven thousand".