44412120 has 192 divisors, whose sum is σ = 156499200. Its totient is φ = 10886400.

The previous prime is 44412113. The next prime is 44412127. The reversal of 44412120 is 2121444.

44412120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44412113) and next prime (44412127).

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 = 44412093 and 44412102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44412127) 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 47 ways as a sum of consecutive naturals, for example, 294045 + ... + 294195.

It is an arithmetic number, because the mean of its divisors is an integer number (815100).

Almost surely, 2^44412120 is an apocalyptic number.

44412120 is a gapful number since it is divisible by the number (40) 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 44412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78249600).

44412120 is an abundant number, since it is smaller than the sum of its proper divisors (112087080).

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

44412120 is a wasteful number, since it uses less digits than its factorization.

44412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44412120 is about 6664.2418923686. The cubic root of 44412120 is about 354.1336276139.

Adding to 44412120 its reverse (2121444), we get a palindrome (46533564).

It can be divided in two parts, 4441 and 2120, that added together give a 8-th power (6561 = 3⁸).

The spelling of 44412120 in words is "forty-four million, four hundred twelve thousand, one hundred twenty".