122947488 has 144 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 38684160.

The previous prime is 122947471. The next prime is 122947523. The reversal of 122947488 is 884749221.

122947488 is a `hidden beast` number, since 122 + 9 + 47 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 419470 + ... + 419762.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^122947488 is an apocalyptic number.

122947488 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 122947488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

122947488 is an abundant number, since it is smaller than the sum of its proper divisors (246899808).

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

122947488 is a wasteful number, since it uses less digits than its factorization.

122947488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 122947488 is about 11088.1688298835. The cubic root of 122947488 is about 497.2482003140.

The spelling of 122947488 in words is "one hundred twenty-two million, nine hundred forty-seven thousand, four hundred eighty-eight".