12100112121000 has 128 divisors (see below), whose sum is σ = 37754809372800. Its totient is φ = 3226486348800.

The previous prime is 12100112120989. The next prime is 12100112121001. The reversal of 12100112121000 is 12121100121.

It is a super-2 number, since 2×12100112121000² (a number of 27 digits) contains 22 as substring.

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 (12100112121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48983799 + ... + 49230201.

It is an arithmetic number, because the mean of its divisors is an integer number (294959448225).

Almost surely, 2^{12100112121000} is an apocalyptic number.

12100112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100112121000 is an abundant number, since it is smaller than the sum of its proper divisors (25654697251800).

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

12100112121000 is a wasteful number, since it uses less digits than its factorization.

12100112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262796 (or 262782 counting only the distinct ones).

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

Adding to 12100112121000 its reverse (12121100121), we get a palindrome (12112233221121).

The spelling of 12100112121000 in words is "twelve trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand".