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12120202320 = 2435373135391
BaseRepresentation
bin10110100100110101…
…11001110001010000
31011021200022001221020
423102122321301100
5144310232433240
65322401555440
7606231006552
oct132232716120
934250261836
1012120202320
11515a5a1436
122423045b80
1311b202c865
1482d98b4d2
154ae0b60d0
hex2d26b9c50

12120202320 has 80 divisors (see below), whose sum is σ = 37673636352. Its totient is φ = 3223365120.

The previous prime is 12120202271. The next prime is 12120202321. The reversal of 12120202320 is 2320202121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120202320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120202321) 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, 21825 + ... + 157215.

Almost surely, 212120202320 is an apocalyptic number.

12120202320 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 12120202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18836818176).

12120202320 is an abundant number, since it is smaller than the sum of its proper divisors (25553434032).

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

12120202320 is a wasteful number, since it uses less digits than its factorization.

12120202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135780 (or 135774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12120202320 its reverse (2320202121), we get a palindrome (14440404441).

The spelling of 12120202320 in words is "twelve billion, one hundred twenty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 14920 17904 22380 29840 44760 89520 135391 270782 406173 541564 676955 812346 1083128 1353910 1624692 2030865 2166256 2707820 3249384 4061730 5415640 6498768 8123460 10831280 16246920 32493840 50500843 101001686 151502529 202003372 252504215 303005058 404006744 505008430 606010116 757512645 808013488 1010016860 1212020232 1515025290 2020033720 2424040464 3030050580 4040067440 6060101160 12120202320