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12320334000 = 24325313371423
BaseRepresentation
bin10110111100101100…
…10110000010110000
31011210121212210222200
423132112112002300
5200213001142000
65354311303200
7614211053052
oct133626260260
934717783880
1012320334000
115252564317
12247a07ab00
131214631a80
1484c3a58d2
154c1949500
hex2de5960b0

12320334000 has 480 divisors, whose sum is σ = 47626785024. Its totient is φ = 2948659200.

The previous prime is 12320333953. The next prime is 12320334023. The reversal of 12320334000 is 43302321.

12320334000 is a `hidden beast` number, since 1 + 2 + 320 + 3 + 340 + 0 + 0 = 666.

It is a super-3 number, since 3×123203340003 (a number of 31 digits) contains 333 as substring.

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, 8657289 + ... + 8658711.

Almost surely, 212320334000 is an apocalyptic number.

12320334000 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 12320334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23813392512).

12320334000 is an abundant number, since it is smaller than the sum of its proper divisors (35306451024).

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

12320334000 is a wasteful number, since it uses less digits than its factorization.

12320334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1483 counting only the distinct ones).

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

Adding to 12320334000 its reverse (43302321), we get a palindrome (12363636321).

The spelling of 12320334000 in words is "twelve billion, three hundred twenty million, three hundred thirty-four thousand".