220121121121120 has 384 divisors, whose sum is σ = 555073498828800. Its totient is φ = 82369387855872.

The previous prime is 220121121121081. The next prime is 220121121121127. The reversal of 220121121121120 is 21121121121022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220121121121127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30747464101 + ... + 30747471259.

It is an arithmetic number, because the mean of its divisors is an integer number (1445503903200).

Almost surely, 2^{220121121121120} is an apocalyptic number.

220121121121120 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 220121121121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277536749414400).

220121121121120 is an abundant number, since it is smaller than the sum of its proper divisors (334952377707680).

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

220121121121120 is a wasteful number, since it uses less digits than its factorization.

220121121121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 220121121121120 its reverse (21121121121022), we get a palindrome (241242242242142).

The spelling of 220121121121120 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".