220121020000112 has 360 divisors, whose sum is σ = 547433138130480. Its totient is φ = 85429001011200.

The previous prime is 220121020000081. The next prime is 220121020000121. The reversal of 220121020000112 is 211000020121022.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 71 ways as a sum of consecutive naturals, for example, 40455983312 + ... + 40455988752.

It is an arithmetic number, because the mean of its divisors is an integer number (1520647605918).

Almost surely, 2^{220121020000112} is an apocalyptic number.

220121020000112 is a gapful number since it is divisible by the number (22) 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 220121020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273716569065240).

220121020000112 is an abundant number, since it is smaller than the sum of its proper divisors (327312118130368).

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

220121020000112 is a wasteful number, since it uses less digits than its factorization.

220121020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220121020000112 its reverse (211000020121022), we get a palindrome (431121040121134).

The spelling of 220121020000112 in words is "two hundred twenty trillion, one hundred twenty-one billion, twenty million, one hundred twelve", and thus it is an aban number.