20434535121 has 288 divisors, whose sum is σ = 40183216128. Its totient is φ = 9114094080.

The previous prime is 20434535111. The next prime is 20434535137. The reversal of 20434535121 is 12153543402.

It is not a de Polignac number, because 20434535121 - 2⁷ = 20434534993 is a prime.

It is a super-2 number, since 2×20434535121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20434535111) 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 287 ways as a sum of consecutive naturals, for example, 434777320 + ... + 434777366.

It is an arithmetic number, because the mean of its divisors is an integer number (139525056).

Almost surely, 2^20434535121 is an apocalyptic number.

20434535121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20434535121 is a deficient number, since it is larger than the sum of its proper divisors (19748681007).

20434535121 is a wasteful number, since it uses less digits than its factorization.

20434535121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 20434 and 535121, that added together give a palindrome (555555).

The spelling of 20434535121 in words is "twenty billion, four hundred thirty-four million, five hundred thirty-five thousand, one hundred twenty-one".