21122120121120 has 144 divisors (see below), whose sum is σ = 73755496406592. Its totient is φ = 5501575457280.

The previous prime is 21122120121079. The next prime is 21122120121139. The reversal of 21122120121120 is 2112102122112.

21122120121120 is a `hidden beast` number, since 2 + 11 + 221 + 201 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21122120121120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122120121093 and 21122120121102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170497836 + ... + 170621675.

It is an arithmetic number, because the mean of its divisors is an integer number (512190947268).

Almost surely, 2^{21122120121120} is an apocalyptic number.

21122120121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122120121120 is an abundant number, since it is smaller than the sum of its proper divisors (52633376285472).

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

21122120121120 is a wasteful number, since it uses less digits than its factorization.

21122120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341119575 (or 341119564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122120121120 its reverse (2112102122112), we get a palindrome (23234222243232).

The spelling of 21122120121120 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".