12201120120000 has 2240 divisors, whose sum is σ = 50019956490240. Its totient is φ = 2564352000000.

The previous prime is 12201120119987. The next prime is 12201120120023. The reversal of 12201120120000 is 2102110221.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 80802119925 + ... + 80802120075.

Almost surely, 2^{12201120120000} is an apocalyptic number.

12201120120000 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 12201120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009978245120).

12201120120000 is an abundant number, since it is smaller than the sum of its proper divisors (37818836370240).

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

12201120120000 is a wasteful number, since it uses less digits than its factorization.

12201120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201120120000 its reverse (2102110221), we get a palindrome (12203222230221).

The spelling of 12201120120000 in words is "twelve trillion, two hundred one billion, one hundred twenty million, one hundred twenty thousand".