421121444121124 has 24 divisors (see below), whose sum is σ = 744288887491128. Its totient is φ = 208467642662400.

The previous prime is 421121444121121. The next prime is 421121444121181.

421121444121124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 257584203324900 + 163537240796224 = 16049430^2 + 12788168^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 421121444121124.

It is not an unprimeable number, because it can be changed into a prime (421121444121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10657407 + ... + 30916390.

It is an arithmetic number, because the mean of its divisors is an integer number (31012036978797).

Almost surely, 2^{421121444121124} is an apocalyptic number.

It is an amenable number.

421121444121124 is a deficient number, since it is larger than the sum of its proper divisors (323167443370004).

421121444121124 is a wasteful number, since it uses less digits than its factorization.

421121444121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41598975 (or 41598973 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The spelling of 421121444121124 in words is "four hundred twenty-one trillion, one hundred twenty-one billion, four hundred forty-four million, one hundred twenty-one thousand, one hundred twenty-four".