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13121203323312 = 2433718773231131
BaseRepresentation
bin1011111011110000010010…
…1010011100000110110000
31201110101010012221022001000
42332330010222130012300
53204434211022321222
643523444140242000
72522655436013130
oct276740452340660
951411105838030
1013121203323312
1141a9742230497
12157ab88540300
1374242a25b7c6
143350d90c4ac0
1517b4a50d29ac
hexbef04a9c1b0

13121203323312 has 160 divisors (see below), whose sum is σ = 43045579906560. Its totient is φ = 3748699319040.

The previous prime is 13121203323289. The next prime is 13121203323313. The reversal of 13121203323312 is 21332330212131.

13121203323312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 20 + 3 + 323 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13121203323313) 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, 56653987 + ... + 56885117.

It is an arithmetic number, because the mean of its divisors is an integer number (269034874416).

Almost surely, 213121203323312 is an apocalyptic number.

13121203323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121203323312 is an abundant number, since it is smaller than the sum of its proper divisors (29924376583248).

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

13121203323312 is a wasteful number, since it uses less digits than its factorization.

13121203323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249928 (or 249916 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13121203323312 its reverse (21332330212131), we get a palindrome (34453533535443).

The spelling of 13121203323312 in words is "thirteen trillion, one hundred twenty-one billion, two hundred three million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 18773 37546 56319 75092 112638 131411 150184 168957 225276 231131 262822 300368 337914 394233 450552 462262 506871 525644 675828 693393 788466 901104 924524 1013742 1051288 1182699 1351656 1386786 1576932 1617917 1849048 2027484 2080179 2102576 2365398 2703312 2773572 3153864 3235834 3548097 3698096 4054968 4160358 4730796 4853751 5547144 6240537 6307728 6471668 7096194 8109936 8320716 9461592 9707502 11094288 12481074 12943336 14192388 14561253 16641432 18923184 19415004 24962148 25886672 28384776 29122506 33282864 38830008 43683759 49924296 56769552 58245012 77660016 87367518 99848592 116490024 174735036 232980048 349470072 698940144 4339022263 8678044526 13017066789 17356089052 26034133578 30373155841 34712178104 39051200367 52068267156 60746311682 69424356208 78102400734 91119467523 104136534312 117153601101 121492623364 156204801468 182238935046 208273068624 234307202202 242985246728 273358402569 312409602936 364477870092 468614404404 485970493456 546716805138 624819205872 728955740184 820075207707 937228808808 1093433610276 1457911480368 1640150415414 1874457617616 2186867220552 3280300830828 4373734441104 6560601661656 13121203323312