122054240 has 96 divisors (see below), whose sum is σ = 359541504. Its totient is φ = 38039040.

The previous prime is 122054213. The next prime is 122054249. The reversal of 122054240 is 42450221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122054249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7367 + ... + 17273.

It is an arithmetic number, because the mean of its divisors is an integer number (3745224).

Almost surely, 2^122054240 is an apocalyptic number.

122054240 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 122054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179770752).

122054240 is an abundant number, since it is smaller than the sum of its proper divisors (237487264).

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

122054240 is a wasteful number, since it uses less digits than its factorization.

122054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122054240 is about 11047.8160737768. The cubic root of 122054240 is about 496.0410562616.

The spelling of 122054240 in words is "one hundred twenty-two million, fifty-four thousand, two hundred forty".