12121123200 has 96 divisors (see below), whose sum is σ = 39923981160. Its totient is φ = 3232296960.

The previous prime is 12121123193. The next prime is 12121123213. The reversal of 12121123200 is 232112121.

It is a tau number, because it is divible by the number of its divisors (96).

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 12121123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621709 + ... + 640908.

Almost surely, 2^12121123200 is an apocalyptic number.

12121123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121123200 is an abundant number, since it is smaller than the sum of its proper divisors (27802857960).

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

12121123200 is a wasteful number, since it uses less digits than its factorization.

12121123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262644 (or 1262627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12121123200 its reverse (232112121), we get a palindrome (12353235321).

The spelling of 12121123200 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".