400122105 has 32 divisors (see below), whose sum is σ = 652734720. Its totient is φ = 209260800.

The previous prime is 400122103. The next prime is 400122127. The reversal of 400122105 is 501221004.

It is not a de Polignac number, because 400122105 - 2¹ = 400122103 is a prime.

It is a super-3 number, since 3×400122105³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (400122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163924 + ... + 166346.

It is an arithmetic number, because the mean of its divisors is an integer number (20397960).

Almost surely, 2^400122105 is an apocalyptic number.

It is an amenable number.

400122105 is a deficient number, since it is larger than the sum of its proper divisors (252612615).

400122105 is a wasteful number, since it uses less digits than its factorization.

400122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 400122105 is about 20003.0523920726. The cubic root of 400122105 is about 736.8812652116.

Adding to 400122105 its reverse (501221004), we get a palindrome (901343109).

It can be divided in two parts, 4001 and 22105, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 400122105 in words is "four hundred million, one hundred twenty-two thousand, one hundred five".