122554656 has 288 divisors, whose sum is σ = 430230528. Its totient is φ = 32348160.

The previous prime is 122554643. The next prime is 122554657. The reversal of 122554656 is 656455221.

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 (36).

Its product of digits (72000) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 122554656.

It is not an unprimeable number, because it can be changed into a prime (122554657) 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, 2312326 + ... + 2312378.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^122554656 is an apocalyptic number.

122554656 is a gapful number since it is divisible by the number (16) 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 122554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264).

122554656 is an abundant number, since it is smaller than the sum of its proper divisors (307675872).

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

122554656 is a wasteful number, since it uses less digits than its factorization.

122554656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 122554656 is about 11070.4406416366. The cubic root of 122554656 is about 496.7180460237.

The spelling of 122554656 in words is "one hundred twenty-two million, five hundred fifty-four thousand, six hundred fifty-six".