40812120 has 256 divisors, whose sum is σ = 149299200. Its totient is φ = 9884160.

The previous prime is 40812119. The next prime is 40812127. The reversal of 40812120 is 2121804.

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 = 40812093 and 40812102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40812127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770014 + ... + 770066.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 2^40812120 is an apocalyptic number.

40812120 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 40812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

40812120 is an abundant number, since it is smaller than the sum of its proper divisors (108487080).

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

40812120 is a wasteful number, since it uses less digits than its factorization.

40812120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

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

The square root of 40812120 is about 6388.4364284228. The cubic root of 40812120 is about 344.2942092729.

Adding to 40812120 its reverse (2121804), we get a palindrome (42933924).

The spelling of 40812120 in words is "forty million, eight hundred twelve thousand, one hundred twenty".