123003761121 has 24 divisors (see below), whose sum is σ = 179494122600. Its totient is φ = 81162144000.

The previous prime is 123003761107. The next prime is 123003761141. The reversal of 123003761121 is 121167300321.

123003761121 is a `hidden beast` number, since 1 + 23 + 0 + 0 + 3 + 7 + 611 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19214118225 + 103789642896 = 138615^2 + 322164^2 .

It is not a de Polignac number, because 123003761121 - 2¹⁴ = 123003744737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123003761141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2749351 + ... + 2793731.

It is an arithmetic number, because the mean of its divisors is an integer number (7478921775).

Almost surely, 2^123003761121 is an apocalyptic number.

It is an amenable number.

123003761121 is a deficient number, since it is larger than the sum of its proper divisors (56490361479).

123003761121 is a wasteful number, since it uses less digits than its factorization.

123003761121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47537 (or 47534 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 123003761121 in words is "one hundred twenty-three billion, three million, seven hundred sixty-one thousand, one hundred twenty-one".