32114200241123 has 192 divisors, whose sum is σ = 48037091751936. Its totient is φ = 20779332710400.

The previous prime is 32114200241113. The next prime is 32114200241159.

It is a happy number.

32114200241123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32114200241123 - 2⁴ = 32114200241107 is a prime.

It is a super-2 number, since 2×32114200241123² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32114200241092 and 32114200241101.

It is not an unprimeable number, because it can be changed into a prime (32114200241113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8967940193 + ... + 8967943773.

It is an arithmetic number, because the mean of its divisors is an integer number (250193186208).

Almost surely, 2^{32114200241123} is an apocalyptic number.

32114200241123 is a deficient number, since it is larger than the sum of its proper divisors (15922891510813).

32114200241123 is a wasteful number, since it uses less digits than its factorization.

32114200241123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 32114200 and 241123, that added together give a palindrome (32355323).

The spelling of 32114200241123 in words is "thirty-two trillion, one hundred fourteen billion, two hundred million, two hundred forty-one thousand, one hundred twenty-three".