21121220120 has 256 divisors, whose sum is σ = 64534579200. Its totient is φ = 6007541760.

The previous prime is 21121220117. The next prime is 21121220147. The reversal of 21121220120 is 2102212112.

It is a super-2 number, since 2×21121220120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21121220095 and 21121220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3560597 + ... + 3566523.

It is an arithmetic number, because the mean of its divisors is an integer number (252088200).

Almost surely, 2^21121220120 is an apocalyptic number.

21121220120 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 21121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32267289600).

21121220120 is an abundant number, since it is smaller than the sum of its proper divisors (43413359080).

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

21121220120 is a wasteful number, since it uses less digits than its factorization.

21121220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21121220120 its reverse (2102212112), we get a palindrome (23223432232).

The spelling of 21121220120 in words is "twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".