10142120144232 has 32 divisors (see below), whose sum is σ = 28172555956800. Its totient is φ = 3380706714672.

The previous prime is 10142120144227. The next prime is 10142120144249. The reversal of 10142120144232 is 23244102124101.

10142120144232 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 212 + 0 + 1 + 442 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10142120144196 and 10142120144205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23477129748 + ... + 23477130179.

It is an arithmetic number, because the mean of its divisors is an integer number (880392373650).

Almost surely, 2^{10142120144232} is an apocalyptic number.

10142120144232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142120144232 is an abundant number, since it is smaller than the sum of its proper divisors (18030435812568).

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

10142120144232 is a wasteful number, since it uses less digits than its factorization.

10142120144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46954259942 (or 46954259932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10142120144232 its reverse (23244102124101), we get a palindrome (33386222268333).

The spelling of 10142120144232 in words is "ten trillion, one hundred forty-two billion, one hundred twenty million, one hundred forty-four thousand, two hundred thirty-two".