10112123642460 has 96 divisors (see below), whose sum is σ = 32388402611712. Its totient is φ = 2309227764480.

The previous prime is 10112123642459. The next prime is 10112123642461. The reversal of 10112123642460 is 6424632121101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10112123642459) and next prime (10112123642461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112123642461) 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 31 ways as a sum of consecutive naturals, for example, 10554886 + ... + 11473005.

It is an arithmetic number, because the mean of its divisors is an integer number (337379193872).

Almost surely, 2^{10112123642460} is an apocalyptic number.

10112123642460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112123642460 is an abundant number, since it is smaller than the sum of its proper divisors (22276278969252).

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

10112123642460 is a wasteful number, since it uses less digits than its factorization.

10112123642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029003 (or 22029001 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 10112123642460 its reverse (6424632121101), we get a palindrome (16536755763561).

The spelling of 10112123642460 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, six hundred forty-two thousand, four hundred sixty".