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12123140500 = 2253435310639
BaseRepresentation
bin10110100101001100…
…00111000110010100
31011021212211100100201
423102212013012110
5144312010444000
65322544550244
7606264664642
oct132246070624
934255740321
1012123140500
115161218989
122424022384
1311b281b023
14830114192
154ae49696a
hex2d2987194

12123140500 has 96 divisors (see below), whose sum is σ = 27606458880. Its totient is φ = 4646678400.

The previous prime is 12123140489. The next prime is 12123140503. The reversal of 12123140500 is 504132121.

It is a super-3 number, since 3×121231405003 (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 (12123140503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134181 + ... + 1144819.

It is an arithmetic number, because the mean of its divisors is an integer number (287567280).

Almost surely, 212123140500 is an apocalyptic number.

12123140500 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 12123140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803229440).

12123140500 is an abundant number, since it is smaller than the sum of its proper divisors (15483318380).

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

12123140500 is a wasteful number, since it uses less digits than its factorization.

12123140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12123140500 its reverse (504132121), we get a palindrome (12627272621).

The spelling of 12123140500 in words is "twelve billion, one hundred twenty-three million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 125 172 212 215 250 265 430 500 530 860 1060 1075 1325 2150 2279 2650 4300 4558 5300 5375 6625 9116 10639 10750 11395 13250 21278 21500 22790 26500 42556 45580 53195 56975 106390 113950 212780 227900 265975 284875 457477 531950 563867 569750 914954 1063900 1127734 1139500 1329875 1829908 2255468 2287385 2659750 2819335 4574770 5319500 5638670 9149540 11277340 11436925 14096675 22873850 24246281 28193350 45747700 48492562 56386700 57184625 70483375 96985124 114369250 121231405 140966750 228738500 242462810 281933500 484925620 606157025 1212314050 2424628100 3030785125 6061570250 12123140500