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12520411222144 = 277971071346341
BaseRepresentation
bin1011011000110010001010…
…1010011101000010000000
31122022221100222121100000111
42312030202222131002000
53120113300233102034
642343444132401104
72431366314300220
oct266144252350200
948287328540014
1012520411222144
113a97970801631
1214a2658476194
136ca8924857a7
14313dc3970080
1516aa4094d364
hexb6322a9d080

12520411222144 has 128 divisors (see below), whose sum is σ = 29069354805120. Its totient is φ = 5260936642560.

The previous prime is 12520411222139. The next prime is 12520411222171. The reversal of 12520411222144 is 44122211402521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8626414 + ... + 9972754.

It is an arithmetic number, because the mean of its divisors is an integer number (227104334415).

Almost surely, 212520411222144 is an apocalyptic number.

12520411222144 is a gapful number since it is divisible by the number (14) 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 12520411222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534677402560).

12520411222144 is an abundant number, since it is smaller than the sum of its proper divisors (16548943582976).

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

12520411222144 is a wasteful number, since it uses less digits than its factorization.

12520411222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346566 (or 1346554 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 12520411222144 its reverse (44122211402521), we get a palindrome (56642622624665).

The spelling of 12520411222144 in words is "twelve trillion, five hundred twenty billion, four hundred eleven million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 107 112 128 194 214 224 388 428 448 679 749 776 856 896 1358 1498 1552 1712 2716 2996 3104 3424 5432 5992 6208 6848 10379 10864 11984 12416 13696 20758 21728 23968 41516 43456 47936 72653 83032 86912 95872 145306 166064 290612 332128 581224 664256 1162448 1328512 1346341 2324896 2692682 4649792 5385364 9299584 9424387 10770728 18848774 21541456 37697548 43082912 75395096 86165824 130595077 144058487 150790192 172331648 261190154 288116974 301580384 522380308 576233948 603160768 914165539 1008409409 1044760616 1152467896 1206321536 1828331078 2016818818 2089521232 2304935792 3656662156 4033637636 4179042464 4609871584 7313324312 8067275272 8358084928 9219743168 13973673239 14626648624 16134550544 16716169856 18439486336 27947346478 29253297248 32269101088 55894692956 58506594496 64538202176 97815712673 111789385912 117013188992 129076404352 195631425346 223578771824 391262850692 447157543648 782525701384 894315087296 1565051402768 1788630174592 3130102805536 6260205611072 12520411222144