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12011211200982 = 23719131118796797
BaseRepresentation
bin1010111011001001001111…
…1110100001100111010110
31120112021000221221010022110
42232302103332201213112
53033242430031412412
641313512501011450
72346532003443450
oct256622376414726
946467027833273
1012011211200982
113910a20656064
12141ba2a3b3b86
136918632c3916
142d74ba9492d0
1515c68c2ccd3c
hexaec93fa19d6

12011211200982 has 128 divisors (see below), whose sum is σ = 29144592322560. Its totient is φ = 3223585572480.

The previous prime is 12011211200981. The next prime is 12011211200983. The reversal of 12011211200982 is 28900211211021.

It is an interprime number because it is at equal distance from previous prime (12011211200981) and next prime (12011211200983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011211200981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124038208 + ... + 124135004.

It is an arithmetic number, because the mean of its divisors is an integer number (227692127520).

Almost surely, 212011211200982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011211200982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572296161280).

12011211200982 is an abundant number, since it is smaller than the sum of its proper divisors (17133381121578).

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

12011211200982 is a wasteful number, since it uses less digits than its factorization.

12011211200982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98146.

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 12011211200982 in words is "twelve trillion, eleven billion, two hundred eleven million, two hundred thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 131 133 262 266 393 399 786 798 917 1187 1834 2374 2489 2751 3561 4978 5502 7122 7467 8309 14934 16618 17423 22553 24927 34846 45106 49854 52269 67659 96797 104538 135318 155497 157871 193594 290391 310994 315742 466491 473613 580782 677579 932982 947226 1088479 1355158 1839143 2032737 2176958 2954443 3265437 3678286 4065474 5517429 5908886 6530874 8863329 11034858 12680407 12874001 17726658 20681101 25360814 25748002 38041221 38622003 41362202 62043303 76082442 77244006 88762849 114898039 124086606 177525698 229796078 240927733 266288547 344694117 481855466 532577094 689388234 722783199 804286273 1445566398 1608572546 1686494131 2183062741 2412858819 3372988262 4366125482 4825717638 5059482393 6549188223 10118964786 13098376446 15051643109 15281439187 30103286218 30562878374 45154929327 45844317561 90309858654 91688635122 105361501763 210723003526 285981219071 316084505289 571962438142 632169010578 857943657213 1715887314426 2001868533497 4003737066994 6005605600491 12011211200982