22121952 has 96 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 6859776.

The previous prime is 22121951. The next prime is 22121963. The reversal of 22121952 is 25912122.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121951) 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 15 ways as a sum of consecutive naturals, for example, 94828 + ... + 95060.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 2^22121952 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 22121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

22121952 is an abundant number, since it is smaller than the sum of its proper divisors (40148256).

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

22121952 is a wasteful number, since it uses less digits than its factorization.

22121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 22121952 is about 4703.3979206527. The cubic root of 22121952 is about 280.7207282664.

The spelling of 22121952 in words is "twenty-two million, one hundred twenty-one thousand, nine hundred fifty-two".