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12330001332 = 223311171733529
BaseRepresentation
bin10110111101110110…
…01110001110110100
31011211022001222002000
423132323032032310
5200222440020312
65355254415300
7614356165515
oct133673161664
934738058060
1012330001332
115257a67550
122481361530
13121663809c
1484d7a0a0c
154c2708adc
hex2deece3b4

12330001332 has 192 divisors, whose sum is σ = 37148025600. Its totient is φ = 3495260160.

The previous prime is 12330001297. The next prime is 12330001351. The reversal of 12330001332 is 23310003321.

12330001332 is a `hidden beast` number, since 1 + 2 + 330 + 0 + 0 + 1 + 332 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3492144 + ... + 3495672.

It is an arithmetic number, because the mean of its divisors is an integer number (193479300).

Almost surely, 212330001332 is an apocalyptic number.

12330001332 is a gapful number since it is divisible by the number (12) 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 12330001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574012800).

12330001332 is an abundant number, since it is smaller than the sum of its proper divisors (24818024268).

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

12330001332 is a wasteful number, since it uses less digits than its factorization.

12330001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12330001332 its reverse (23310003321), we get a palindrome (35640004653).

The spelling of 12330001332 in words is "twelve billion, three hundred thirty million, one thousand, three hundred thirty-two".