220122000 has 240 divisors, whose sum is σ = 879146112. Its totient is φ = 50284800.

The previous prime is 220121999. The next prime is 220122017. The reversal of 220122000 is 221022.

220122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125127 + ... + 126873.

Almost surely, 2^220122000 is an apocalyptic number.

220122000 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 220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439573056).

220122000 is an abundant number, since it is smaller than the sum of its proper divisors (659024112).

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

220122000 is a wasteful number, since it uses less digits than its factorization.

220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220122000 is about 14836.5090233518. The cubic root of 220122000 is about 603.7926425908.

Adding to 220122000 its reverse (221022), we get a palindrome (220343022).

The spelling of 220122000 in words is "two hundred twenty million, one hundred twenty-two thousand".