12121897600 has 192 divisors, whose sum is σ = 31841087040. Its totient is φ = 4544184320.

The previous prime is 12121897577. The next prime is 12121897631. The reversal of 12121897600 is 679812121.

It is a self number, because there is not a number n which added to its sum of digits gives 12121897600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24098949 + ... + 24099451.

It is an arithmetic number, because the mean of its divisors is an integer number (165838995).

Almost surely, 2^12121897600 is an apocalyptic number.

12121897600 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 12121897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920543520).

12121897600 is an abundant number, since it is smaller than the sum of its proper divisors (19719189440).

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

12121897600 is a wasteful number, since it uses less digits than its factorization.

12121897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 12121897600 in words is "twelve billion, one hundred twenty-one million, eight hundred ninety-seven thousand, six hundred".