10120314000 has 160 divisors (see below), whose sum is σ = 33510462336. Its totient is φ = 2625753600.

The previous prime is 10120313999. The next prime is 10120314011. The reversal of 10120314000 is 41302101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 199207 + ... + 244793.

Almost surely, 2^10120314000 is an apocalyptic number.

10120314000 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 10120314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755231168).

10120314000 is an abundant number, since it is smaller than the sum of its proper divisors (23390148336).

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

10120314000 is a wasteful number, since it uses less digits than its factorization.

10120314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45650 (or 45634 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10120314000 its reverse (41302101), we get a palindrome (10161616101).

The spelling of 10120314000 in words is "ten billion, one hundred twenty million, three hundred fourteen thousand".