12001121211120 has 80 divisors (see below), whose sum is σ = 39161553440640. Its totient is φ = 3031862199552.

The previous prime is 12001121211103. The next prime is 12001121211127. The reversal of 12001121211120 is 2111212110021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12001121211120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001121211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001121211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315907854 + ... + 1315916973.

It is an arithmetic number, because the mean of its divisors is an integer number (489519418008).

Almost surely, 2^{12001121211120} is an apocalyptic number.

12001121211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121211120 is an abundant number, since it is smaller than the sum of its proper divisors (27160432229520).

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

12001121211120 is a wasteful number, since it uses less digits than its factorization.

12001121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631824862 (or 2631824856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12001121211120 its reverse (2111212110021), we get a palindrome (14112333321141).

The spelling of 12001121211120 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".