122220180 has 72 divisors (see below), whose sum is σ = 379799784. Its totient is φ = 31795200.

The previous prime is 122220167. The next prime is 122220193. The reversal of 122220180 is 81022221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122220167) and next prime (122220193).

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 114832656 = 2718^2 + 10716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (5274997).

Almost surely, 2^122220180 is an apocalyptic number.

122220180 is a gapful number since it is divisible by the number (10) 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 122220180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189899892).

122220180 is an abundant number, since it is smaller than the sum of its proper divisors (257579604).

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

122220180 is a wasteful number, since it uses less digits than its factorization.

122220180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122220180 is about 11055.3236044903. The cubic root of 122220180 is about 496.2657535706.

The spelling of 122220180 in words is "one hundred twenty-two million, two hundred twenty thousand, one hundred eighty".