10123320772040 has 64 divisors (see below), whose sum is σ = 26057196201600. Its totient is φ = 3467412845568.

The previous prime is 10123320772007. The next prime is 10123320772049. The reversal of 10123320772040 is 4027702332101.

It is a junction number, because it is equal to n+sod(n) for n = 10123320771988 and 10123320772006.

It is not an unprimeable number, because it can be changed into a prime (10123320772049) 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 15 ways as a sum of consecutive naturals, for example, 17633594 + ... + 18198633.

It is an arithmetic number, because the mean of its divisors is an integer number (407143690650).

Almost surely, 2^{10123320772040} is an apocalyptic number.

10123320772040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123320772040 is an abundant number, since it is smaller than the sum of its proper divisors (15933875429560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10123320772040 is a wasteful number, since it uses less digits than its factorization.

10123320772040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35833254 (or 35833250 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 10123320772040 in words is "ten trillion, one hundred twenty-three billion, three hundred twenty million, seven hundred seventy-two thousand, forty".