41412121220 has 48 divisors (see below), whose sum is σ = 90008982000. Its totient is φ = 15985697280.

The previous prime is 41412121211. The next prime is 41412121229. The reversal of 41412121220 is 2212121414.

It is an interprime number because it is at equal distance from previous prime (41412121211) and next prime (41412121229).

It can be written as a sum of positive squares in 8 ways, for example, as 10806018304 + 30606102916 = 103952^2 + 174946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41412121192 and 41412121201.

It is not an unprimeable number, because it can be changed into a prime (41412121229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225106 + ... + 1258454.

It is an arithmetic number, because the mean of its divisors is an integer number (1875187125).

Almost surely, 2^41412121220 is an apocalyptic number.

It is an amenable number.

41412121220 is an abundant number, since it is smaller than the sum of its proper divisors (48596860780).

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

41412121220 is a wasteful number, since it uses less digits than its factorization.

41412121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35528 (or 35526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41412121220 its reverse (2212121414), we get a palindrome (43624242634).

The spelling of 41412121220 in words is "forty-one billion, four hundred twelve million, one hundred twenty-one thousand, two hundred twenty".