12121230032100 has 432 divisors, whose sum is σ = 45997341481728. Its totient is φ = 2606331617280.

The previous prime is 12121230032071. The next prime is 12121230032129. The reversal of 12121230032100 is 123003212121.

12121230032100 is a `hidden beast` number, since 1 + 21 + 21 + 2 + 300 + 321 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12121230032071) and next prime (12121230032129).

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 143 ways as a sum of consecutive naturals, for example, 230560017 + ... + 230612583.

It is an arithmetic number, because the mean of its divisors is an integer number (106475327504).

Almost surely, 2^{12121230032100} is an apocalyptic number.

12121230032100 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 12121230032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998670740864).

12121230032100 is an abundant number, since it is smaller than the sum of its proper divisors (33876111449628).

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

12121230032100 is a wasteful number, since it uses less digits than its factorization.

12121230032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54764 (or 54754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121230032100 its reverse (123003212121), we get a palindrome (12244233244221).

The spelling of 12121230032100 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty million, thirty-two thousand, one hundred".