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12002320404 = 22327328116253
BaseRepresentation
bin10110010110110010…
…01110000000010100
31010222110111001100100
423023121032000110
5144040043223104
65302551214100
7603300016524
oct131331160024
933873431310
1012002320404
1150a9aa6a68
1223ab677330
131193797a49
1481c063684
154a3a7d139
hex2cb64e014

12002320404 has 72 divisors (see below), whose sum is σ = 30866150952. Its totient is φ = 3931683840.

The previous prime is 12002320357. The next prime is 12002320409. The reversal of 12002320404 is 40402320021.

It can be written as a sum of positive squares in 4 ways, for example, as 3991712400 + 8010608004 = 63180^2 + 89502^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002320409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730342 + ... + 746594.

It is an arithmetic number, because the mean of its divisors is an integer number (428696541).

Almost surely, 212002320404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433075476).

12002320404 is an abundant number, since it is smaller than the sum of its proper divisors (18863830548).

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

12002320404 is a wasteful number, since it uses less digits than its factorization.

12002320404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12002320404 its reverse (40402320021), we get a palindrome (52404640425).

The spelling of 12002320404 in words is "twelve billion, two million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 281 292 438 562 657 843 876 1124 1314 1686 2529 2628 3372 5058 10116 16253 20513 32506 41026 48759 61539 65012 82052 97518 123078 146277 184617 195036 246156 292554 369234 585108 738468 1186469 2372938 3559407 4567093 4745876 7118814 9134186 10678221 13701279 14237628 18268372 21356442 27402558 41103837 42712884 54805116 82207674 164415348 333397789 666795578 1000193367 1333591156 2000386734 3000580101 4000773468 6001160202 12002320404