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12011111102112 = 2531319193149123
BaseRepresentation
bin1010111011001000111000…
…0000101011011010100000
31120112020202222120120110220
42232302032000223122200
53033242223420231422
641313454523323040
72346526346560143
oct256621600533240
946466688516426
1012011111102112
11391097a0a7321
12141ba00980480
13691848647115
142d74ab53005a
1515c683608e5c
hexaec8e02b6a0

12011111102112 has 96 divisors (see below), whose sum is σ = 31570053419520. Its totient is φ = 3998515080960.

The previous prime is 12011111102101. The next prime is 12011111102183. The reversal of 12011111102112 is 21120111111021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12011111102091 and 12011111102100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244486383 + ... + 244535505.

It is an arithmetic number, because the mean of its divisors is an integer number (328854723120).

Almost surely, 212011111102112 is an apocalyptic number.

12011111102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011111102112 is an abundant number, since it is smaller than the sum of its proper divisors (19558942317408).

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

12011111102112 is a wasteful number, since it uses less digits than its factorization.

12011111102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52386 (or 52378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12011111102112 its reverse (21120111111021), we get a palindrome (33131222213133).

The spelling of 12011111102112 in words is "twelve trillion, eleven billion, one hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1319 1931 2638 3862 3957 5276 5793 7724 7914 10552 11586 15448 15828 21104 23172 30896 31656 42208 46344 49123 61792 63312 92688 98246 126624 147369 185376 196492 294738 392984 589476 785968 1178952 1571936 2357904 2546989 4715808 5093978 7640967 10187956 15281934 20375912 30563868 40751824 61127736 64793237 81503648 94856513 122255472 129586474 189713026 194379711 244510944 259172948 284569539 379426052 388759422 518345896 569139078 758852104 777518844 1036691792 1138278156 1517704208 1555037688 2073383584 2276556312 3035408416 3110075376 4553112624 6220150752 9106225248 125115740647 250231481294 375347221941 500462962588 750694443882 1000925925176 1501388887764 2001851850352 3002777775528 4003703700704 6005555551056 12011111102112