122445120 has 336 divisors, whose sum is σ = 479511360. Its totient is φ = 26320896.

The previous prime is 122445107. The next prime is 122445121. The reversal of 122445120 is 21544221.

It is a tau number, because it is divible by the number of its divisors (336).

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 (122445121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893692 + ... + 893828.

Almost surely, 2^122445120 is an apocalyptic number.

122445120 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 122445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239755680).

122445120 is an abundant number, since it is smaller than the sum of its proper divisors (357066240).

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

122445120 is a wasteful number, since it uses less digits than its factorization.

122445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 122445120 is about 11065.4923071683. The cubic root of 122445120 is about 496.5700175785.

Adding to 122445120 its reverse (21544221), we get a palindrome (143989341).

The spelling of 122445120 in words is "one hundred twenty-two million, four hundred forty-five thousand, one hundred twenty".