220121433321300 has 432 divisors, whose sum is σ = 797502645313920. Its totient is φ = 49740730490880.

The previous prime is 220121433321287. The next prime is 220121433321319. The reversal of 220121433321300 is 3123334121022.

220121433321300 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 1 + 4 + 33 + 321 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4330260684 + ... + 4330311516.

Almost surely, 2^{220121433321300} is an apocalyptic number.

220121433321300 is a gapful number since it is divisible by the number (20) 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 220121433321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398751322656960).

220121433321300 is an abundant number, since it is smaller than the sum of its proper divisors (577381211992620).

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

220121433321300 is a wasteful number, since it uses less digits than its factorization.

220121433321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58672 (or 58662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 220121433321300 its reverse (3123334121022), we get a palindrome (223244767442322).

The spelling of 220121433321300 in words is "two hundred twenty trillion, one hundred twenty-one billion, four hundred thirty-three million, three hundred twenty-one thousand, three hundred".