22121341440120 has 576 divisors, whose sum is σ = 78471400644000. Its totient is φ = 5401974509568.

The previous prime is 22121341440103. The next prime is 22121341440139. The reversal of 22121341440120 is 2104414312122.

22121341440120 is a `hidden beast` number, since 2 + 2 + 1 + 213 + 4 + 1 + 440 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×22121341440120³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4082178771 + ... + 4082184189.

Almost surely, 2^{22121341440120} is an apocalyptic number.

22121341440120 is a gapful number since it is divisible by the number (20) 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 22121341440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39235700322000).

22121341440120 is an abundant number, since it is smaller than the sum of its proper divisors (56350059203880).

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

22121341440120 is a wasteful number, since it uses less digits than its factorization.

22121341440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22121341440120 its reverse (2104414312122), we get a palindrome (24225755752242).

The spelling of 22121341440120 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred forty-one million, four hundred forty thousand, one hundred twenty".