40212120 has 128 divisors (see below), whose sum is σ = 131544000. Its totient is φ = 9775104.

The previous prime is 40212101. The next prime is 40212121. The reversal of 40212120 is 2121204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40212096 and 40212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232354 + ... + 232526.

Almost surely, 2^40212120 is an apocalyptic number.

40212120 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 40212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772000).

40212120 is an abundant number, since it is smaller than the sum of its proper divisors (91331880).

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

40212120 is a wasteful number, since it uses less digits than its factorization.

40212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40212120 is about 6341.3027052807. The cubic root of 40212120 is about 342.5986573551.

Adding to 40212120 its reverse (2121204), we get a palindrome (42333324).

The spelling of 40212120 in words is "forty million, two hundred twelve thousand, one hundred twenty".