10204142312 has 128 divisors (see below), whose sum is σ = 24021930240. Its totient is φ = 3956428800.

The previous prime is 10204142297. The next prime is 10204142327. The reversal of 10204142312 is 21324140201.

It is an interprime number because it is at equal distance from previous prime (10204142297) and next prime (10204142327).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7866848 + ... + 7868144.

It is an arithmetic number, because the mean of its divisors is an integer number (187671330).

Almost surely, 2^10204142312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010965120).

10204142312 is an abundant number, since it is smaller than the sum of its proper divisors (13817787928).

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

10204142312 is a wasteful number, since it uses less digits than its factorization.

10204142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10204142312 its reverse (21324140201), we get a palindrome (31528282513).

The spelling of 10204142312 in words is "ten billion, two hundred four million, one hundred forty-two thousand, three hundred twelve".