1122221000120 has 192 divisors, whose sum is σ = 2802990960000. Its totient is φ = 404039750400.

The previous prime is 1122221000093. The next prime is 1122221000183. The reversal of 1122221000120 is 210001222211.

It is a super-2 number, since 2×1122221000120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122221000095 and 1122221000104.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 316384187 + ... + 316387733.

It is an arithmetic number, because the mean of its divisors is an integer number (14598911250).

Almost surely, 2^{1122221000120} is an apocalyptic number.

1122221000120 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 1122221000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401495480000).

1122221000120 is an abundant number, since it is smaller than the sum of its proper divisors (1680769959880).

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

1122221000120 is a wasteful number, since it uses less digits than its factorization.

1122221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4195 counting only the distinct ones).

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

Adding to 1122221000120 its reverse (210001222211), we get a palindrome (1332222222331).

The spelling of 1122221000120 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.