401122125 has 80 divisors (see below), whose sum is σ = 755417520. Its totient is φ = 211766400.

The previous prime is 401122121. The next prime is 401122159. The reversal of 401122125 is 521221104.

It can be written as a sum of positive squares in 8 ways, for example, as 4435236 + 396686889 = 2106^2 + 19917^2 .

It is not a de Polignac number, because 401122125 - 2² = 401122121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401122098 and 401122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401122121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1751511 + ... + 1751739.

It is an arithmetic number, because the mean of its divisors is an integer number (9442719).

Almost surely, 2^401122125 is an apocalyptic number.

401122125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401122125 is a deficient number, since it is larger than the sum of its proper divisors (354295395).

401122125 is a wasteful number, since it uses less digits than its factorization.

401122125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 401122125 is about 20028.0334781026. The cubic root of 401122125 is about 737.4946470932.

Adding to 401122125 its reverse (521221104), we get a palindrome (922343229).

The spelling of 401122125 in words is "four hundred one million, one hundred twenty-two thousand, one hundred twenty-five".