122054688 has 270 divisors, whose sum is σ = 431469423. Its totient is φ = 33747840.

The previous prime is 122054687. The next prime is 122054693. The reversal of 122054688 is 886450221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122054688 is a `hidden beast` number, since 12 + 20 + 546 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 61027344 = 7812^2 + 7812^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122054687) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3937233 + ... + 3937263.

Almost surely, 2^122054688 is an apocalyptic number.

122054688 is a gapful number since it is divisible by the number (18) 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 122054688

122054688 is an abundant number, since it is smaller than the sum of its proper divisors (309414735).

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

122054688 is an equidigital number, since it uses as much as digits as its factorization.

122054688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122054688 is about 11047.8363492586. The cubic root of 122054688 is about 496.0416631669.

The spelling of 122054688 in words is "one hundred twenty-two million, fifty-four thousand, six hundred eighty-eight".