1110122201120 has 96 divisors (see below), whose sum is σ = 2678000231088. Its totient is φ = 434768560128.

The previous prime is 1110122201107. The next prime is 1110122201137. The reversal of 1110122201120 is 211022210111.

It can be written as a sum of positive squares in 8 ways, for example, as 227807653264 + 882314547856 = 477292^2 + 939316^2 .

It is a super-3 number, since 3×1110122201120³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110122201095 and 1110122201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253282 + ... + 1947038.

Almost surely, 2^{1110122201120} is an apocalyptic number.

1110122201120 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 1110122201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339000115544).

1110122201120 is an abundant number, since it is smaller than the sum of its proper divisors (1567878029968).

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

1110122201120 is a wasteful number, since it uses less digits than its factorization.

1110122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693982 (or 693974 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110122201120 its reverse (211022210111), we get a palindrome (1321144411231).

It can be divided in two parts, 111012 and 2201120, that added together give a palindrome (2312132).

The spelling of 1110122201120 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".