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12011220110112 = 2532112812110217
BaseRepresentation
bin1010111011001001010010…
…0000100000101100100000
31120112021001120200202100020
42232302110200200230200
53033242434322010422
641313513415553440
72346532142250546
oct256622440405440
946467046622306
1012011220110112
113910a25690683
12141ba3138b880
136918650c2ab2
142d74bbbc7d96
1515c68ce8c95c
hexaec94820b20

12011220110112 has 96 divisors (see below), whose sum is σ = 31791632773824. Its totient is φ = 3970582425600.

The previous prime is 12011220110059. The next prime is 12011220110119. The reversal of 12011220110112 is 21101102211021.

It is a happy number.

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

It is a super-3 number, since 3×120112201101123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011220110091 and 12011220110100.

It is not an unprimeable number, because it can be changed into a prime (12011220110119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636828 + ... + 6747044.

It is an arithmetic number, because the mean of its divisors is an integer number (331162841394).

Almost surely, 212011220110112 is an apocalyptic number.

12011220110112 is a gapful number since it is divisible by the number (12) 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 12011220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895816386912).

12011220110112 is an abundant number, since it is smaller than the sum of its proper divisors (19780412663712).

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

12011220110112 is a wasteful number, since it uses less digits than its factorization.

12011220110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110722 (or 2110714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011220110112 its reverse (21101102211021), we get a palindrome (33112322321133).

The spelling of 12011220110112 in words is "twelve trillion, eleven billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 281 422 562 633 843 844 1124 1266 1686 1688 2248 2532 3372 3376 4496 5064 6744 6752 8992 10128 13488 20256 26976 59291 118582 177873 237164 355746 474328 711492 948656 1422984 1897312 2110217 2845968 4220434 5691936 6330651 8440868 12661302 16881736 25322604 33763472 50645208 67526944 101290416 202580832 445255787 592970977 890511574 1185941954 1335767361 1778912931 1781023148 2371883908 2671534722 3557825862 3562046296 4743767816 5343069444 7115651724 7124092592 9487535632 10686138888 14231303448 14248185184 18975071264 21372277776 28462606896 42744555552 56925213792 125116876147 250233752294 375350628441 500467504588 750701256882 1000935009176 1501402513764 2001870018352 3002805027528 4003740036704 6005610055056 12011220110112