122144162220 has 240 divisors, whose sum is σ = 387383784480. Its totient is φ = 32215532544.

The previous prime is 122144162197. The next prime is 122144162221. The reversal of 122144162220 is 22261441221.

It is a happy number.

122144162220 is a `hidden beast` number, since 1 + 2 + 2 + 14 + 4 + 1 + 622 + 20 = 666.

It is a super-3 number, since 3×122144162220³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122144162221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70480474 + ... + 70482206.

It is an arithmetic number, because the mean of its divisors is an integer number (1614099102).

Almost surely, 2^122144162220 is an apocalyptic number.

122144162220 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 122144162220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193691892240).

122144162220 is an abundant number, since it is smaller than the sum of its proper divisors (265239622260).

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

122144162220 is a wasteful number, since it uses less digits than its factorization.

122144162220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 122144162220 in words is "one hundred twenty-two billion, one hundred forty-four million, one hundred sixty-two thousand, two hundred twenty".