1032123141 has 80 divisors (see below), whose sum is σ = 1812792960. Its totient is φ = 573091200.

The previous prime is 1032123133. The next prime is 1032123151. The reversal of 1032123141 is 1413212301.

1032123141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032123141 - 2³ = 1032123133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032123151) 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, 3836755 + ... + 3837023.

It is an arithmetic number, because the mean of its divisors is an integer number (22659912).

Almost surely, 2^1032123141 is an apocalyptic number.

It is an amenable number.

1032123141 is a deficient number, since it is larger than the sum of its proper divisors (780669819).

1032123141 is a wasteful number, since it uses less digits than its factorization.

1032123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1032123141 is about 32126.6733571965. The cubic root of 1032123141 is about 1010.5950618797.

Adding to 1032123141 its reverse (1413212301), we get a palindrome (2445335442).

The spelling of 1032123141 in words is "one billion, thirty-two million, one hundred twenty-three thousand, one hundred forty-one".