120001111011012 has 864 divisors, whose sum is σ = 381065821194240. Its totient is φ = 28546788372480.

The previous prime is 120001111011011. The next prime is 120001111011029. The reversal of 120001111011012 is 210110111100021.

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

It is not an unprimeable number, because it can be changed into a prime (120001111011011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63526262164 + ... + 63526264052.

It is an arithmetic number, because the mean of its divisors is an integer number (441048404160).

Almost surely, 2^{120001111011012} is an apocalyptic number.

120001111011012 is a gapful number since it is divisible by the number (12) 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 120001111011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190532910597120).

120001111011012 is an abundant number, since it is smaller than the sum of its proper divisors (261064710183228).

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

120001111011012 is a wasteful number, since it uses less digits than its factorization.

120001111011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2077 counting only the distinct ones).

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

Adding to 120001111011012 its reverse (210110111100021), we get a palindrome (330111222111033).

The spelling of 120001111011012 in words is "one hundred twenty trillion, one billion, one hundred eleven million, eleven thousand, twelve".