Search a number
-
+
12320002332000 = 2532531137840841
BaseRepresentation
bin1011001101000111100101…
…0111001101010101100000
31121121210002010220212200200
42303101321113031111200
53103322331044111000
642111421514345200
72411043066653526
oct263217127152540
947553063825620
1012320002332000
113a1a97a1531a0
12146b847a2b200
136b4a045316ac
14308411452316
1516571165b500
hexb34795cd560

12320002332000 has 576 divisors, whose sum is σ = 48987777803328. Its totient is φ = 2905943040000.

The previous prime is 12320002331983. The next prime is 12320002332013. The reversal of 12320002332000 is 23320002321.

It is a happy number.

12320002332000 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 0 + 23 + 320 + 0 + 0 = 666.

12320002332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14231580 + ... + 15072420.

It is an arithmetic number, because the mean of its divisors is an integer number (85048225353).

Almost surely, 212320002332000 is an apocalyptic number.

12320002332000 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 12320002332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493888901664).

12320002332000 is an abundant number, since it is smaller than the sum of its proper divisors (36667775471328).

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

12320002332000 is a wasteful number, since it uses less digits than its factorization.

12320002332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840920 (or 840899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12320002332000 its reverse (23320002321), we get a palindrome (12343322334321).

The spelling of 12320002332000 in words is "twelve trillion, three hundred twenty billion, two million, three hundred thirty-two thousand".