122240160 has 288 divisors, whose sum is σ = 486525312. Its totient is φ = 27371520.

The previous prime is 122240137. The next prime is 122240189. The reversal of 122240160 is 61042221.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 675270 + ... + 675450.

It is an arithmetic number, because the mean of its divisors is an integer number (1689324).

Almost surely, 2^122240160 is an apocalyptic number.

122240160 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 122240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243262656).

122240160 is an abundant number, since it is smaller than the sum of its proper divisors (364285152).

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

122240160 is a wasteful number, since it uses less digits than its factorization.

122240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122240160 is about 11056.2272046119. The cubic root of 122240160 is about 496.2927945211.

Adding to 122240160 its reverse (61042221), we get a palindrome (183282381).

The spelling of 122240160 in words is "one hundred twenty-two million, two hundred forty thousand, one hundred sixty".