112223111232100 has 72 divisors (see below), whose sum is σ = 265715050523328. Its totient is φ = 40800364156800.

The previous prime is 112223111232059. The next prime is 112223111232101. The reversal of 112223111232100 is 1232111322211.

It is a happy number.

It is a super-2 number, since 2×112223111232100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112223111232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462672 + ... + 15632071.

It is an arithmetic number, because the mean of its divisors is an integer number (3690486812824).

Almost surely, 2^{112223111232100} is an apocalyptic number.

112223111232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112223111232100 is an abundant number, since it is smaller than the sum of its proper divisors (153491939291228).

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

112223111232100 is a wasteful number, since it uses less digits than its factorization.

112223111232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099845 (or 20099838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 112223111232100 its reverse (1232111322211), we get a palindrome (113455222554311).

The spelling of 112223111232100 in words is "one hundred twelve trillion, two hundred twenty-three billion, one hundred eleven million, two hundred thirty-two thousand, one hundred".