122661120 has 144 divisors (see below), whose sum is σ = 415013760. Its totient is φ = 30769152.

The previous prime is 122661113. The next prime is 122661151. The reversal of 122661120 is 21166221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64341 + ... + 66219.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 2^122661120 is an apocalyptic number.

122661120 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 122661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207506880).

122661120 is an abundant number, since it is smaller than the sum of its proper divisors (292352640).

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

122661120 is a wasteful number, since it uses less digits than its factorization.

122661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 122661120 is about 11075.2480784856. The cubic root of 122661120 is about 496.8618384236.

The spelling of 122661120 in words is "one hundred twenty-two million, six hundred sixty-one thousand, one hundred twenty".