1122222201120 has 288 divisors, whose sum is σ = 4068714751920. Its totient is φ = 281130393600.

The previous prime is 1122222201071. The next prime is 1122222201137. The reversal of 1122222201120 is 211022222211.

It is a happy number.

1122222201120 is a `hidden beast` number, since 1 + 122 + 222 + 201 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 406039132944 + 716183068176 = 637212^2 + 846276^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1122222201120³ (a number of 37 digits) contains 333 as substring.

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 = 1122222201093 and 1122222201102.

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, 1181970 + ... + 1908270.

Almost surely, 2^{1122222201120} is an apocalyptic number.

1122222201120 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 1122222201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034357375960).

1122222201120 is an abundant number, since it is smaller than the sum of its proper divisors (2946492550800).

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

1122222201120 is a wasteful number, since it uses less digits than its factorization.

1122222201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726388 (or 726377 counting only the distinct ones).

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

Adding to 1122222201120 its reverse (211022222211), we get a palindrome (1333244423331).

The spelling of 1122222201120 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".