22125239424 has 192 divisors, whose sum is σ = 69911281440. Its totient is φ = 6941085696.

The previous prime is 22125239419. The next prime is 22125239443. The reversal of 22125239424 is 42493252122.

22125239424 is a `hidden beast` number, since 2 + 21 + 2 + 523 + 94 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507847 + ... + 549689.

Almost surely, 2^22125239424 is an apocalyptic number.

22125239424 is a gapful number since it is divisible by the number (24) 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 22125239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34955640720).

22125239424 is an abundant number, since it is smaller than the sum of its proper divisors (47786042016).

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

22125239424 is an equidigital number, since it uses as much as digits as its factorization.

22125239424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41889 (or 41865 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 22125239424 in words is "twenty-two billion, one hundred twenty-five million, two hundred thirty-nine thousand, four hundred twenty-four".