22121941248 has 432 divisors, whose sum is σ = 73864207872. Its totient is φ = 6303744000.

The previous prime is 22121941159. The next prime is 22121941249. The reversal of 22121941248 is 84214912122.

22121941248 is a `hidden beast` number, since 2 + 21 + 219 + 412 + 4 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121941249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29069188 + ... + 29069948.

Almost surely, 2^22121941248 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 22121941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36932103936).

22121941248 is an abundant number, since it is smaller than the sum of its proper divisors (51742266624).

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

22121941248 is a wasteful number, since it uses less digits than its factorization.

22121941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

It can be divided in two parts, 22121 and 941248, that added together give a palindrome (963369).

The spelling of 22121941248 in words is "twenty-two billion, one hundred twenty-one million, nine hundred forty-one thousand, two hundred forty-eight".