12001021121100 has 288 divisors, whose sum is σ = 38192131547136. Its totient is φ = 2885350809600.

The previous prime is 12001021121081. The next prime is 12001021121129. The reversal of 12001021121100 is 112112010021.

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

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, 2159619522 + ... + 2159625078.

It is an arithmetic number, because the mean of its divisors is an integer number (132611567872).

Almost surely, 2^{12001021121100} is an apocalyptic number.

12001021121100 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 12001021121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096065773568).

12001021121100 is an abundant number, since it is smaller than the sum of its proper divisors (26191110426036).

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

12001021121100 is a wasteful number, since it uses less digits than its factorization.

12001021121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10858 counting only the distinct ones).

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

Adding to 12001021121100 its reverse (112112010021), we get a palindrome (12113133131121).

It can be divided in two parts, 12001021 and 121100, that added together give a palindrome (12122121).

The spelling of 12001021121100 in words is "twelve trillion, one billion, twenty-one million, one hundred twenty-one thousand, one hundred".