122168448 has 96 divisors (see below), whose sum is σ = 354161340. Its totient is φ = 40421376.

The previous prime is 122168429. The next prime is 122168467. The reversal of 122168448 is 844861221.

It is an interprime number because it is at equal distance from previous prime (122168429) and next prime (122168467).

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 1871424 = 10968^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198990 + ... + 199602.

Almost surely, 2^122168448 is an apocalyptic number.

122168448 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 122168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080670).

122168448 is an abundant number, since it is smaller than the sum of its proper divisors (231992892).

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

122168448 is a wasteful number, since it uses less digits than its factorization.

122168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 791 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 122168448 is about 11052.9836695799. The cubic root of 122168448 is about 496.1957257378.

The spelling of 122168448 in words is "one hundred twenty-two million, one hundred sixty-eight thousand, four hundred forty-eight".