10142124032112 has 80 divisors (see below), whose sum is σ = 27463698544128. Its totient is φ = 3221548162560.

The previous prime is 10142124032039. The next prime is 10142124032113. The reversal of 10142124032112 is 21123042124101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142124032113) 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 15 ways as a sum of consecutive naturals, for example, 59840008 + ... + 60009255.

Almost surely, 2^{10142124032112} is an apocalyptic number.

10142124032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142124032112 is an abundant number, since it is smaller than the sum of its proper divisors (17321574512016).

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

10142124032112 is a wasteful number, since it uses less digits than its factorization.

10142124032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119849358 (or 119849352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10142124032112 its reverse (21123042124101), we get a palindrome (31265166156213).

The spelling of 10142124032112 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, thirty-two thousand, one hundred twelve".