1121100122112 has 48 divisors (see below), whose sum is σ = 2988870459120. Its totient is φ = 373700038656.

The previous prime is 1121100122099. The next prime is 1121100122117. The reversal of 1121100122112 is 2112210011211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1121100122112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121100122091 and 1121100122100.

It is not an unprimeable number, because it can be changed into a prime (1121100122117) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 91229218 + ... + 91241505.

It is an arithmetic number, because the mean of its divisors is an integer number (62268134565).

Almost surely, 2^{1121100122112} is an apocalyptic number.

1121100122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121100122112 is an abundant number, since it is smaller than the sum of its proper divisors (1867770337008).

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

1121100122112 is an equidigital number, since it uses as much as digits as its factorization.

1121100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182470748 (or 182470728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121100122112 its reverse (2112210011211), we get a palindrome (3233310133323).

The spelling of 1121100122112 in words is "one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".