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12112252500 = 223544734361
BaseRepresentation
bin10110100011111001…
…00100111001010100
31011021010100011211110
423101330210321110
5144301214040000
65321515335020
7606103306335
oct132174447124
934233304743
1012112252500
115156061637
122420451470
1311b04a821a
1482c8bc28c
154ad545850
hex2d1f24e54

12112252500 has 120 divisors (see below), whose sum is σ = 36068554368. Its totient is φ = 3161120000.

The previous prime is 12112252489. The next prime is 12112252501. The reversal of 12112252500 is 525221121.

12112252500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112252501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335320 + ... + 369680.

Almost surely, 212112252500 is an apocalyptic number.

12112252500 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 12112252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034277184).

12112252500 is an abundant number, since it is smaller than the sum of its proper divisors (23956301868).

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

12112252500 is a wasteful number, since it uses less digits than its factorization.

12112252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34435 (or 34418 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 12112252500 its reverse (525221121), we get a palindrome (12637473621).

The spelling of 12112252500 in words is "twelve billion, one hundred twelve million, two hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 125 141 150 188 235 250 282 300 375 470 500 564 625 705 750 940 1175 1250 1410 1500 1875 2350 2500 2820 3525 3750 4700 5875 7050 7500 11750 14100 17625 23500 29375 34361 35250 58750 68722 70500 88125 103083 117500 137444 171805 176250 206166 343610 352500 412332 515415 687220 859025 1030830 1614967 1718050 2061660 2577075 3229934 3436100 4295125 4844901 5154150 6459868 8074835 8590250 9689802 10308300 12885375 16149670 17180500 19379604 21475625 24224505 25770750 32299340 40374175 42951250 48449010 51541500 64426875 80748350 85902500 96898020 121122525 128853750 161496700 201870875 242245050 257707500 403741750 484490100 605612625 807483500 1009354375 1211225250 2018708750 2422450500 3028063125 4037417500 6056126250 12112252500