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12001313211312 = 2431429174966661
BaseRepresentation
bin1010111010100100011000…
…0000101100001110110000
31120111022111011010011001110
42232221012000230032300
53033112142140230222
641305154400433320
72346031505065635
oct256510600541660
946438434104043
1012001313211312
113907801485a07
121419b27618840
136909467a1cb9
142d6c1c17c18c
1515c2ad37030c
hexaea4602c3b0

12001313211312 has 40 divisors (see below), whose sum is σ = 31025088505840. Its totient is φ = 3997638247680.

The previous prime is 12001313211253. The next prime is 12001313211323. The reversal of 12001313211312 is 21311231310021.

It is a super-2 number, since 2×120013132113122 (a number of 27 digits) contains 22 as substring.

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, 87414739 + ... + 87551922.

It is an arithmetic number, because the mean of its divisors is an integer number (775627212646).

Almost surely, 212001313211312 is an apocalyptic number.

12001313211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001313211312 is an abundant number, since it is smaller than the sum of its proper divisors (19023775294528).

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

12001313211312 is a wasteful number, since it uses less digits than its factorization.

12001313211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174968101 (or 174968095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12001313211312 its reverse (21311231310021), we get a palindrome (33312544521333).

The spelling of 12001313211312 in words is "twelve trillion, one billion, three hundred thirteen million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1429 2858 4287 5716 8574 11432 17148 22864 34296 68592 174966661 349933322 524899983 699866644 1049799966 1399733288 2099599932 2799466576 4199199864 8398399728 250027358569 500054717138 750082075707 1000109434276 1500164151414 2000218868552 3000328302828 4000437737104 6000656605656 12001313211312