12001022001100 has 288 divisors, whose sum is σ = 30596091724800. Its totient is φ = 4039853875200.

The previous prime is 12001022001091. The next prime is 12001022001109. The reversal of 12001022001100 is 110022010021.

It is an interprime number because it is at equal distance from previous prime (12001022001091) and next prime (12001022001109).

It is a super-3 number, since 3×12001022001100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12001022001109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160119234 + ... + 160194166.

It is an arithmetic number, because the mean of its divisors is an integer number (106236429600).

Almost surely, 2^{12001022001100} is an apocalyptic number.

12001022001100 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 12001022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298045862400).

12001022001100 is an abundant number, since it is smaller than the sum of its proper divisors (18595069723700).

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

12001022001100 is a wasteful number, since it uses less digits than its factorization.

12001022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75153 (or 75146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001022001100 its reverse (110022010021), we get a palindrome (12111044011121).

The spelling of 12001022001100 in words is "twelve trillion, one billion, twenty-two million, one thousand, one hundred".