122845248 has 98 divisors (see below), whose sum is σ = 365628174. Its totient is φ = 40932864.

The previous prime is 122845223. The next prime is 122845249. The reversal of 122845248 is 842548221.

122845248 is a `hidden beast` number, since 122 + 8 + 4 + 524 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 36578304 = 9288^2 + 6048^2 .

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 (122845249) 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 13 ways as a sum of consecutive naturals, for example, 45340 + ... + 47972.

Almost surely, 2^122845248 is an apocalyptic number.

122845248 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 122845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182814087).

122845248 is an abundant number, since it is smaller than the sum of its proper divisors (242782926).

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

122845248 is an frugal number, since it uses more digits than its factorization.

122845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2638 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 122845248 is about 11083.5575516167. The cubic root of 122845248 is about 497.1103291101.

The spelling of 122845248 in words is "one hundred twenty-two million, eight hundred forty-five thousand, two hundred forty-eight".