10000123131440 has 80 divisors (see below), whose sum is σ = 25260352171488. Its totient is φ = 3659677421568.

The previous prime is 10000123131437. The next prime is 10000123131457. The reversal of 10000123131440 is 4413132100001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10000123131440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42428954 + ... + 42663993.

Almost surely, 2^{10000123131440} is an apocalyptic number.

10000123131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000123131440 is an abundant number, since it is smaller than the sum of its proper divisors (15260229040048).

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

10000123131440 is a wasteful number, since it uses less digits than its factorization.

10000123131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85093086 (or 85093080 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10000123131440 its reverse (4413132100001), we get a palindrome (14413255231441).

The spelling of 10000123131440 in words is "ten trillion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".