4112222100120 has 96 divisors (see below), whose sum is σ = 13367395828800. Its totient is φ = 1096373154816.

The previous prime is 4112222100061. The next prime is 4112222100157. The reversal of 4112222100120 is 210012222114.

4112222100120 is a `hidden beast` number, since 411 + 2 + 22 + 210 + 0 + 1 + 20 = 666.

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 = 4112222100093 and 4112222100102.

It is a congruent number.

It is an unprimeable number.

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, 663009 + ... + 2943471.

It is an arithmetic number, because the mean of its divisors is an integer number (139243706550).

Almost surely, 2^{4112222100120} is an apocalyptic number.

4112222100120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112222100120 is an abundant number, since it is smaller than the sum of its proper divisors (9255173728680).

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

4112222100120 is a wasteful number, since it uses less digits than its factorization.

4112222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285489 (or 2285482 counting only the distinct ones).

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

Adding to 4112222100120 its reverse (210012222114), we get a palindrome (4322234322234).

The spelling of 4112222100120 in words is "four trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".