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12000202022120 = 23513215310718677
BaseRepresentation
bin1010111010100000001111…
…0001110101110011101000
31120111012121201012220001012
42232220003301311303220
53033102403204201440
641304452224043052
72345662123121204
oct256500361656350
946435551186035
1012000202022120
113907291219034
121419877463488
136907ca5043c0
142d6b54769b04
1515c245a28e65
hexaea03c75ce8

12000202022120 has 64 divisors (see below), whose sum is σ = 29090920839120. Its totient is φ = 4428785424384.

The previous prime is 12000202022099. The next prime is 12000202022131. The reversal of 12000202022120 is 2122020200021.

12000202022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27647043076 + 11972554979044 = 166274^2 + 3460138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12000202022095 and 12000202022104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239779 + ... + 6478898.

Almost surely, 212000202022120 is an apocalyptic number.

12000202022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000202022120 is an abundant number, since it is smaller than the sum of its proper divisors (17090718817000).

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

12000202022120 is a wasteful number, since it uses less digits than its factorization.

12000202022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720854 (or 10720850 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000202022120 its reverse (2122020200021), we get a palindrome (14122222222141).

The spelling of 12000202022120 in words is "twelve trillion, two hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2153 4306 8612 10765 17224 21530 27989 43060 55978 86120 111956 139945 223912 279890 559780 1119560 10718677 21437354 42874708 53593385 85749416 107186770 139342801 214373540 278685602 428747080 557371204 696714005 1114742408 1393428010 2786856020 5573712040 23077311581 46154623162 92309246324 115386557905 184618492648 230773115810 300005050553 461546231620 600010101106 923092463240 1200020202212 1500025252765 2400040404424 3000050505530 6000101011060 12000202022120