220002102000120 has 512 divisors, whose sum is σ = 748118543477760. Its totient is φ = 51288754176000.

The previous prime is 220002102000091. The next prime is 220002102000229. The reversal of 220002102000120 is 21000201200022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220002102000096 and 220002102000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1440850180 + ... + 1441002860.

It is an arithmetic number, because the mean of its divisors is an integer number (1461169030230).

Almost surely, 2^{220002102000120} is an apocalyptic number.

220002102000120 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 220002102000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374059271738880).

220002102000120 is an abundant number, since it is smaller than the sum of its proper divisors (528116441477640).

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

220002102000120 is a wasteful number, since it uses less digits than its factorization.

220002102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153087 (or 153083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220002102000120 its reverse (21000201200022), we get a palindrome (241002303200142).

The spelling of 220002102000120 in words is "two hundred twenty trillion, two billion, one hundred two million, one hundred twenty", and thus it is an aban number.