122047584 has 48 divisors (see below), whose sum is σ = 323511552. Its totient is φ = 40284288.

The previous prime is 122047567. The next prime is 122047619. The reversal of 122047584 is 485740221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122047584² = 29791225520474112, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3717 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (6739824).

Almost surely, 2^122047584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122047584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161755776).

122047584 is an abundant number, since it is smaller than the sum of its proper divisors (201463968).

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

122047584 is a wasteful number, since it uses less digits than its factorization.

122047584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 122047584 is about 11047.5148336628. The cubic root of 122047584 is about 496.0320392068.

The spelling of 122047584 in words is "one hundred twenty-two million, forty-seven thousand, five hundred eighty-four".