10120504251040 has 48 divisors (see below), whose sum is σ = 24555899180232. Its totient is φ = 3938790841344.

The previous prime is 10120504251029. The next prime is 10120504251049. The reversal of 10120504251040 is 4015240502101.

It can be written as a sum of positive squares in 4 ways, for example, as 9750455895184 + 370048355856 = 3122572^2 + 608316^2 .

It is a super-2 number, since 2×10120504251040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120504250996 and 10120504251014.

It is not an unprimeable number, because it can be changed into a prime (10120504251049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854766399 + ... + 854778238.

Almost surely, 2^{10120504251040} is an apocalyptic number.

10120504251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120504251040 is an abundant number, since it is smaller than the sum of its proper divisors (14435394929192).

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

10120504251040 is a wasteful number, since it uses less digits than its factorization.

10120504251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709544689 (or 1709544681 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10120504251040 its reverse (4015240502101), we get a palindrome (14135744753141).

The spelling of 10120504251040 in words is "ten trillion, one hundred twenty billion, five hundred four million, two hundred fifty-one thousand, forty".