Search a number
-
+
12330254632500 = 2233547233493251
BaseRepresentation
bin1011001101101101110001…
…1100101000011000110100
31121122202112122102201001000
42303123130130220120310
53104004330141220000
642120235113003300
72411555130041460
oct263333434503064
947582478381030
1012330254632500
113a24260322312
1214718293b3530
136b59795886ac
14308b04ccd4a0
15165b11755000
hexb36dc728634

12330254632500 has 960 divisors, whose sum is σ = 47789102592000. Its totient is φ = 2687256000000.

The previous prime is 12330254632499. The next prime is 12330254632541. The reversal of 12330254632500 is 523645203321.

12330254632500 is a `hidden beast` number, since 1 + 2 + 3 + 30 + 2 + 546 + 32 + 50 + 0 = 666.

12330254632500 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3792755875 + ... + 3792759125.

It is an arithmetic number, because the mean of its divisors is an integer number (49780315200).

Almost surely, 212330254632500 is an apocalyptic number.

12330254632500 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 12330254632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894551296000).

12330254632500 is an abundant number, since it is smaller than the sum of its proper divisors (35458847959500).

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

12330254632500 is a wasteful number, since it uses less digits than its factorization.

12330254632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 12330254632500 its reverse (523645203321), we get a palindrome (12853899835821).

The spelling of 12330254632500 in words is "twelve trillion, three hundred thirty billion, two hundred fifty-four million, six hundred thirty-two thousand, five hundred".