1121122110024 has 160 divisors (see below), whose sum is σ = 3647610436800. Its totient is φ = 315069367680.

The previous prime is 1121122110001. The next prime is 1121122110029. The reversal of 1121122110024 is 4200112211211.

It is a super-2 number, since 2×1121122110024² (a number of 25 digits) contains 22 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 = 1121122109979 and 1121122110006.

It is not an unprimeable number, because it can be changed into a prime (1121122110029) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1749214 + ... + 2302605.

It is an arithmetic number, because the mean of its divisors is an integer number (22797565230).

Almost surely, 2^{1121122110024} is an apocalyptic number.

1121122110024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1121122110024 is an abundant number, since it is smaller than the sum of its proper divisors (2526488326776).

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

1121122110024 is a wasteful number, since it uses less digits than its factorization.

1121122110024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051905 (or 4051892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121122110024 its reverse (4200112211211), we get a palindrome (5321234321235).

The spelling of 1121122110024 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, twenty-four".