22121441221440 has 224 divisors, whose sum is σ = 81127724667264. Its totient is φ = 5047316316160.

The previous prime is 22121441221381. The next prime is 22121441221483. The reversal of 22121441221440 is 4412214412122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22121441221398 and 22121441221407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61433229 + ... + 61792268.

Almost surely, 2^{22121441221440} is an apocalyptic number.

22121441221440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121441221440 is an abundant number, since it is smaller than the sum of its proper divisors (59006283445824).

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

22121441221440 is a wasteful number, since it uses less digits than its factorization.

22121441221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123225545 (or 123225535 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 22121441221440 its reverse (4412214412122), we get a palindrome (26533655633562).

The spelling of 22121441221440 in words is "twenty-two trillion, one hundred twenty-one billion, four hundred forty-one million, two hundred twenty-one thousand, four hundred forty".