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12012130032032 = 2513191449336703
BaseRepresentation
bin1010111011001100101010…
…1111100101100110100000
31120112100101222212120120002
42232303022233211212200
53033301320242011112
641314144002435132
72346563531412254
oct256631257454640
946470358776502
1012012130032032
11391135227a469
121420046062aa8
1369197b781630
142d75669a8264
1515c6e2cc91c2
hexaeccabe59a0

12012130032032 has 96 divisors (see below), whose sum is σ = 25658460979200. Its totient is φ = 5502734254080.

The previous prime is 12012130031983. The next prime is 12012130032047. The reversal of 12012130032032 is 23023003121021.

It is a junction number, because it is equal to n+sod(n) for n = 12012130031995 and 12012130032013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35507393 + ... + 35844095.

It is an arithmetic number, because the mean of its divisors is an integer number (267275635200).

Almost surely, 212012130032032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012130032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829230489600).

12012130032032 is an abundant number, since it is smaller than the sum of its proper divisors (13646330947168).

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

12012130032032 is a wasteful number, since it uses less digits than its factorization.

12012130032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337366 (or 337358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12012130032032 its reverse (23023003121021), we get a palindrome (35035133153053).

The spelling of 12012130032032 in words is "twelve trillion, twelve billion, one hundred thirty million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 382 416 449 764 898 1528 1796 2483 3056 3592 4966 5837 6112 7184 9932 11674 14368 19864 23348 39728 46696 79456 85759 93392 171518 186784 336703 343036 673406 686072 1114867 1346812 1372144 2229734 2693624 2744288 4377139 4459468 5387248 8754278 8918936 10774496 17508556 17837872 35017112 35675744 64310273 70034224 128620546 140068448 151179647 257241092 302359294 514482184 604718588 836033549 1028964368 1209437176 1672067098 1965335411 2057928736 2418874352 3344134196 3930670822 4837748704 6688268392 7861341644 13376536784 15722683288 26753073568 28875312577 31445366576 57750625154 62890733152 115501250308 231002500616 375379063501 462005001232 750758127002 924010002464 1501516254004 3003032508008 6006065016016 12012130032032