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12034204240 = 245297516907
BaseRepresentation
bin10110011010100101…
…10110001001010000
31011001200110220202011
423031102312021100
5144121224013430
65310050432304
7604135022362
oct131522661120
934050426664
1012034204240
115115aa3843
1223ba292694
13119a27c316
148223a2d32
154a677a22a
hex2cd4b6250

12034204240 has 80 divisors (see below), whose sum is σ = 28987073280. Its totient is φ = 4640832000.

The previous prime is 12034204223. The next prime is 12034204243. The reversal of 12034204240 is 4240243021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×120342042403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034204243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738867 + ... + 1745773.

It is an arithmetic number, because the mean of its divisors is an integer number (362338416).

Almost surely, 212034204240 is an apocalyptic number.

12034204240 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 12034204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493536640).

12034204240 is an abundant number, since it is smaller than the sum of its proper divisors (16952869040).

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

12034204240 is a wasteful number, since it uses less digits than its factorization.

12034204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12034204240 its reverse (4240243021), we get a palindrome (16274447261).

The spelling of 12034204240 in words is "twelve billion, thirty-four million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 751 1160 1502 2320 3004 3755 6008 6907 7510 12016 13814 15020 21779 27628 30040 34535 43558 55256 60080 69070 87116 108895 110512 138140 174232 200303 217790 276280 348464 400606 435580 552560 801212 871160 1001515 1602424 1742320 2003030 3204848 4006060 5187157 8012120 10374314 16024240 20748628 25935785 41497256 51871570 82994512 103743140 150427553 207486280 300855106 414972560 601710212 752137765 1203420424 1504275530 2406840848 3008551060 6017102120 12034204240