122688450 has 72 divisors (see below), whose sum is σ = 332948928. Its totient is φ = 32387040.

The previous prime is 122688431. The next prime is 122688451. The reversal of 122688450 is 54886221.

122688450 is a `hidden beast` number, since 122 + 6 + 88 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (122688451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45027 + ... + 47673.

Almost surely, 2^122688450 is an apocalyptic number.

122688450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122688450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166474464).

122688450 is an abundant number, since it is smaller than the sum of its proper divisors (210260478).

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

122688450 is a wasteful number, since it uses less digits than its factorization.

122688450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2760 counting only the distinct ones).

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

The square root of 122688450 is about 11076.4818421735. The cubic root of 122688450 is about 496.8987374443.

It can be divided in two parts, 1226 and 88450, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 122688450 in words is "one hundred twenty-two million, six hundred eighty-eight thousand, four hundred fifty".