12022101120 has 128 divisors (see below), whose sum is σ = 38354186880. Its totient is φ = 3203072000.

The previous prime is 12022101101. The next prime is 12022101149. The reversal of 12022101120 is 2110122021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12022101096 and 12022101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071965 + ... + 3075875.

It is an arithmetic number, because the mean of its divisors is an integer number (299642085).

Almost surely, 2^12022101120 is an apocalyptic number.

12022101120 is a gapful number since it is divisible by the number (10) 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 12022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177093440).

12022101120 is an abundant number, since it is smaller than the sum of its proper divisors (26332085760).

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

12022101120 is a wasteful number, since it uses less digits than its factorization.

12022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5522 counting only the distinct ones).

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

Adding to 12022101120 its reverse (2110122021), we get a palindrome (14132223141).

The spelling of 12022101120 in words is "twelve billion, twenty-two million, one hundred one thousand, one hundred twenty".