10412012160 has 960 divisors, whose sum is σ = 44120181600. Its totient is φ = 2314137600.

The previous prime is 10412012153. The next prime is 10412012161. The reversal of 10412012160 is 6121021401.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10412012161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 335871345 + ... + 335871375.

Almost surely, 2^10412012160 is an apocalyptic number.

10412012160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22060090800).

10412012160 is an abundant number, since it is smaller than the sum of its proper divisors (33708169440).

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

10412012160 is a wasteful number, since it uses less digits than its factorization.

10412012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10412012160 its reverse (6121021401), we get a palindrome (16533033561).

The spelling of 10412012160 in words is "ten billion, four hundred twelve million, twelve thousand, one hundred sixty".