220121120121200 has 240 divisors, whose sum is σ = 565399510865280. Its totient is φ = 82066360320000.

The previous prime is 220121120121197. The next prime is 220121120121271. The reversal of 220121120121200 is 2121021121022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293787050 + ... + 294535350.

It is an arithmetic number, because the mean of its divisors is an integer number (2355831295272).

Almost surely, 2^{220121120121200} is an apocalyptic number.

220121120121200 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 220121120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282699755432640).

220121120121200 is an abundant number, since it is smaller than the sum of its proper divisors (345278390744080).

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

220121120121200 is a wasteful number, since it uses less digits than its factorization.

220121120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748756 (or 748745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220121120121200 its reverse (2121021121022), we get a palindrome (222242141242222).

The spelling of 220121120121200 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".