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12600136297104 = 2433189569167213
BaseRepresentation
bin1011011101011011001010…
…1001011110101010010000
31122121120011011101202202120
42313112302221132222100
53122420034343001404
642444231145414240
72440221060246126
oct267266251365220
948546134352676
1012600136297104
114018762500434
1214b5ba819a380
1370525965bb65
14317bc7dc1916
1516cb59c129d9
hexb75b2a5ea90

12600136297104 has 160 divisors (see below), whose sum is σ = 34037814297600. Its totient is φ = 4011803811840.

The previous prime is 12600136297103. The next prime is 12600136297117. The reversal of 12600136297104 is 40179263100621.

It is not an unprimeable number, because it can be changed into a prime (12600136297103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75270202 + ... + 75437414.

It is an arithmetic number, because the mean of its divisors is an integer number (212736339360).

Almost surely, 212600136297104 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 12600136297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018907148800).

12600136297104 is an abundant number, since it is smaller than the sum of its proper divisors (21437678000496).

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

12600136297104 is a wasteful number, since it uses less digits than its factorization.

12600136297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167913 (or 167907 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

Adding to 12600136297104 its reverse (40179263100621), we get a palindrome (52779399397725).

The spelling of 12600136297104 in words is "twelve trillion, six hundred billion, one hundred thirty-six million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 89 93 124 178 186 248 267 356 372 496 534 569 712 744 1068 1138 1424 1488 1707 2136 2276 2759 3414 4272 4552 5518 6828 8277 9104 11036 13656 16554 17639 22072 27312 33108 35278 44144 50641 52917 66216 70556 101282 105834 132432 141112 151923 167213 202564 211668 282224 303846 334426 405128 423336 501639 607692 668852 810256 846672 1003278 1215384 1337704 1569871 2006556 2430768 2675408 3139742 4013112 4709613 5183603 6279484 8026224 9419226 10367206 12558968 14881957 15550809 18838452 20734412 25117936 29763914 31101618 37676904 41468824 44645871 59527828 62203236 75353808 82937648 89291742 95144197 119055656 124406472 178583484 190288394 238111312 248812944 285432591 357166968 380576788 461340667 570865182 714333936 761153576 922681334 1141730364 1384022001 1522307152 1845362668 2283460728 2768044002 2949470107 3690725336 4566921456 5536088004 5898940214 7381450672 8467833533 8848410321 11072176008 11797880428 16935667066 17696820642 22144352016 23595760856 25403500599 33871334132 35393641284 47191521712 50807001198 67742668264 70787282568 101614002396 135485336528 141574565136 203228004792 262502839523 406456009584 525005679046 787508518569 1050011358092 1575017037138 2100022716184 3150034074276 4200045432368 6300068148552 12600136297104