Search a number
-
+
12333200000000 = 21058112803
BaseRepresentation
bin1011001101111000110000…
…0000010100010000000000
31121200001010220122212200012
42303132030000110100000
53104031343200000000
642121443250244052
72412021123203645
oct263361400242000
947601126585605
1012333200000000
113a25531968530
12147230b886628
136b60288520b9
14308d04153dcc
15165c35106735
hexb378c014400

12333200000000 has 396 divisors, whose sum is σ = 33631553093136. Its totient is φ = 4483200000000.

The previous prime is 12333199999933. The next prime is 12333200000027. The reversal of 12333200000000 is 233321.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4399998599 + ... + 4400001401.

Almost surely, 212333200000000 is an apocalyptic number.

12333200000000 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 12333200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815776546568).

12333200000000 is an abundant number, since it is smaller than the sum of its proper divisors (21298353093136).

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

12333200000000 is an frugal number, since it uses more digits than its factorization.

12333200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 12333200000000 its reverse (233321), we get a palindrome (12333200233321).

The spelling of 12333200000000 in words is "twelve trillion, three hundred thirty-three billion, two hundred million", and thus it is an aban number.