1122122202120 has 448 divisors, whose sum is σ = 4015856880000. Its totient is φ = 281086101504.

The previous prime is 1122122202079. The next prime is 1122122202127. The reversal of 1122122202120 is 212022212211.

It is a happy number.

1122122202120 is a `hidden beast` number, since 11 + 221 + 2 + 220 + 212 + 0 = 666.

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 = 1122122202093 and 1122122202102.

It is not an unprimeable number, because it can be changed into a prime (1122122202127) 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 111 ways as a sum of consecutive naturals, for example, 296934391 + ... + 296938169.

It is an arithmetic number, because the mean of its divisors is an integer number (8963966250).

Almost surely, 2^{1122122202120} is an apocalyptic number.

1122122202120 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 1122122202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007928440000).

1122122202120 is an abundant number, since it is smaller than the sum of its proper divisors (2893734677880).

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

1122122202120 is a wasteful number, since it uses less digits than its factorization.

1122122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122122202120 its reverse (212022212211), we get a palindrome (1334144414331).

The spelling of 1122122202120 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".