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12251300000 = 25551011213
BaseRepresentation
bin10110110100011110…
…00000000010100000
31011121210222112010212
423122033000002200
5200042313100000
65343403513252
7612412221542
oct133217000240
934553875125
1012251300000
1152175a3025
12245ab28828
131203240b54
14843155692
154ba85ec35
hex2da3c00a0

12251300000 has 144 divisors (see below), whose sum is σ = 30471346584. Its totient is φ = 4848000000.

The previous prime is 12251299993. The next prime is 12251300051. The reversal of 12251300000 is 315221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5636405776 + 6614894224 = 75076^2 + 81332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099394 + ... + 10100606.

Almost surely, 212251300000 is an apocalyptic number.

12251300000 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 12251300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235673292).

12251300000 is an abundant number, since it is smaller than the sum of its proper divisors (18220046584).

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

12251300000 is an equidigital number, since it uses as much as digits as its factorization.

12251300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 12251300000 its reverse (315221), we get a palindrome (12251615221).

The spelling of 12251300000 in words is "twelve billion, two hundred fifty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1213 1250 1616 2000 2020 2426 2500 2525 3125 3232 4000 4040 4852 5000 5050 6065 6250 8080 9704 10000 10100 12130 12500 12625 16160 19408 20000 20200 24260 25000 25250 30325 38816 40400 48520 50000 50500 60650 63125 80800 97040 100000 101000 121300 122513 126250 151625 194080 202000 242600 245026 252500 303250 315625 404000 485200 490052 505000 606500 612565 631250 758125 970400 980104 1010000 1213000 1225130 1262500 1516250 1960208 2020000 2426000 2450260 2525000 3032500 3062825 3790625 3920416 4852000 4900520 5050000 6065000 6125650 7581250 9801040 10100000 12130000 12251300 15162500 15314125 19602080 24260000 24502600 30325000 30628250 49005200 60650000 61256500 76570625 98010400 121300000 122513000 153141250 245026000 306282500 382853125 490052000 612565000 765706250 1225130000 1531412500 2450260000 3062825000 6125650000 12251300000