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12133210320 = 2434571124317
BaseRepresentation
bin10110100110011001…
…00001100011010000
31011022120202221120000
423103030201203100
5144322100212240
65323544450000
7606446405010
oct132314414320
934276687500
1012133210320
115166976550
122427479900
1311b49355ba
148315b5c40
154b02d5430
hex2d33218d0

12133210320 has 400 divisors, whose sum is σ = 52540887168. Its totient is φ = 2521082880.

The previous prime is 12133210289. The next prime is 12133210321. The reversal of 12133210320 is 2301233121.

12133210320 is a `hidden beast` number, since 1 + 2 + 1 + 332 + 10 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12133210293 and 12133210302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133210321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 486802 + ... + 511118.

Almost surely, 212133210320 is an apocalyptic number.

12133210320 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 12133210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270443584).

12133210320 is an abundant number, since it is smaller than the sum of its proper divisors (40407676848).

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

12133210320 is a wasteful number, since it uses less digits than its factorization.

12133210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24360 (or 24345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133210320 its reverse (2301233121), we get a palindrome (14434443441).

The spelling of 12133210320 in words is "twelve billion, one hundred thirty-three million, two hundred ten thousand, three hundred twenty".