21120001122 has 64 divisors (see below), whose sum is σ = 47527077888. Its totient is φ = 6201720000.

The previous prime is 21120001103. The next prime is 21120001127. The reversal of 21120001122 is 22110002112.

It is a junction number, because it is equal to n+sod(n) for n = 21120001098 and 21120001107.

It is not an unprimeable number, because it can be changed into a prime (21120001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279597 + ... + 347007.

It is an arithmetic number, because the mean of its divisors is an integer number (742610592).

Almost surely, 2^21120001122 is an apocalyptic number.

21120001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23763538944).

21120001122 is an abundant number, since it is smaller than the sum of its proper divisors (26407076766).

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

21120001122 is a wasteful number, since it uses less digits than its factorization.

21120001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67575.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21120001122 its reverse (22110002112), we get a palindrome (43230003234).

The spelling of 21120001122 in words is "twenty-one billion, one hundred twenty million, one thousand, one hundred twenty-two".