12313020000 has 240 divisors, whose sum is σ = 40669231680. Its totient is φ = 3260736000.

The previous prime is 12313019993. The next prime is 12313020019. The reversal of 12313020000 is 2031321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12313020000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9779371 + ... + 9780629.

It is an arithmetic number, because the mean of its divisors is an integer number (169455132).

Almost surely, 2^12313020000 is an apocalyptic number.

12313020000 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 12313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334615840).

12313020000 is an abundant number, since it is smaller than the sum of its proper divisors (28356211680).

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

12313020000 is a wasteful number, since it uses less digits than its factorization.

12313020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12313020000 its reverse (2031321), we get a palindrome (12315051321).

The spelling of 12313020000 in words is "twelve billion, three hundred thirteen million, twenty thousand".