122161824 has 96 divisors (see below), whose sum is σ = 367879680. Its totient is φ = 39398400.

The previous prime is 122161799. The next prime is 122161841. The reversal of 122161824 is 428161221.

122161824 is a `hidden beast` number, since 1 + 2 + 21 + 618 + 24 = 666.

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

It is a super-2 number, since 2×122161824² = 29847022486013952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24504 + ... + 29064.

It is an arithmetic number, because the mean of its divisors is an integer number (3832080).

Almost surely, 2^122161824 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 122161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183939840).

122161824 is an abundant number, since it is smaller than the sum of its proper divisors (245717856).

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

122161824 is a wasteful number, since it uses less digits than its factorization.

122161824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4597 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 122161824 is about 11052.6840179207. The cubic root of 122161824 is about 496.1867576288.

The spelling of 122161824 in words is "one hundred twenty-two million, one hundred sixty-one thousand, eight hundred twenty-four".