220220121000180 has 384 divisors, whose sum is σ = 744212012544000. Its totient is φ = 47531408891904.

The previous prime is 220220121000167. The next prime is 220220121000181. The reversal of 220220121000180 is 81000121022022.

220220121000180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220121000181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11179243971 + ... + 11179263669.

It is an arithmetic number, because the mean of its divisors is an integer number (1938052116000).

Almost surely, 2^{220220121000180} is an apocalyptic number.

220220121000180 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 220220121000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372106006272000).

220220121000180 is an abundant number, since it is smaller than the sum of its proper divisors (523991891543820).

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

220220121000180 is a wasteful number, since it uses less digits than its factorization.

220220121000180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24231 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 220220121000180 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred twenty-one million, one hundred eighty", and thus it is an aban number.