12121021200 has 120 divisors (see below), whose sum is σ = 39295797408. Its totient is φ = 3193303040.

The previous prime is 12121021193. The next prime is 12121021201. The reversal of 12121021200 is 212012121.

It is a tau number, because it is divible by the number of its divisors (120).

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 (12121021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38752 + ... + 160448.

Almost surely, 2^12121021200 is an apocalyptic number.

12121021200 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 12121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647898704).

12121021200 is an abundant number, since it is smaller than the sum of its proper divisors (27174776208).

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

12121021200 is a wasteful number, since it uses less digits than its factorization.

12121021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121801 (or 121790 counting only the distinct ones).

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

Adding to 12121021200 its reverse (212012121), we get a palindrome (12333033321).

The spelling of 12121021200 in words is "twelve billion, one hundred twenty-one million, twenty-one thousand, two hundred".