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12012101210112 = 2123983994453
BaseRepresentation
bin1010111011001100100100…
…0001101001000000000000
31120112100022222122021022120
42232303021001221000000
53033301240402210422
641314141053004240
72346563031421323
oct256631101510000
946470288567276
1012012101210112
113911337a840a3
121420038483680
136919757cc943
142d7562c247ba
1515c6e04d445c
hexaecc9069000

12012101210112 has 104 divisors (see below), whose sum is σ = 32060974202304. Its totient is φ = 3999956434944.

The previous prime is 12012101210099. The next prime is 12012101210147. The reversal of 12012101210112 is 21101210121021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12012101210091 and 12012101210100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11581878 + ... + 12576330.

Almost surely, 212012101210112 is an apocalyptic number.

12012101210112 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 12012101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030487101152).

12012101210112 is an abundant number, since it is smaller than the sum of its proper divisors (20048872992192).

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

12012101210112 is an frugal number, since it uses more digits than its factorization.

12012101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995463 (or 995441 counting only the distinct ones).

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

Adding to 12012101210112 its reverse (21101210121021), we get a palindrome (33113311331133).

The spelling of 12012101210112 in words is "twelve trillion, twelve billion, one hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 983 1024 1536 1966 2048 2949 3072 3932 4096 5898 6144 7864 11796 12288 15728 23592 31456 47184 62912 94368 125824 188736 251648 377472 503296 754944 994453 1006592 1509888 1988906 2013184 2983359 3019776 3977812 4026368 5966718 6039552 7955624 11933436 12079104 15911248 23866872 31822496 47733744 63644992 95467488 127289984 190934976 254579968 381869952 509159936 763739904 977547299 1018319872 1527479808 1955094598 2036639744 2932641897 3054959616 3910189196 4073279488 5865283794 6109919232 7820378392 11730567588 12219838464 15640756784 23461135176 31281513568 46922270352 62563027136 93844540704 125126054272 187689081408 250252108544 375378162816 500504217088 750756325632 1001008434176 1501512651264 2002016868352 3003025302528 4004033736704 6006050605056 12012101210112