12121005600 has 324 divisors, whose sum is σ = 46983918618. Its totient is φ = 2938214400.

The previous prime is 12121005569. The next prime is 12121005653. The reversal of 12121005600 is 650012121.

12121005600 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 100 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9722748816 + 2398256784 = 98604^2 + 48972^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 864244 + ... + 878156.

Almost surely, 2^12121005600 is an apocalyptic number.

12121005600 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 12121005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23491959309).

12121005600 is an abundant number, since it is smaller than the sum of its proper divisors (34862913018).

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

12121005600 is a wasteful number, since it uses less digits than its factorization.

12121005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12121005600 its reverse (650012121), we get a palindrome (12771017721).

The spelling of 12121005600 in words is "twelve billion, one hundred twenty-one million, five thousand, six hundred".