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12071705220 = 22325167401587
BaseRepresentation
bin10110011111000011…
…11001101010000100
31011011022001011102100
423033201321222010
5144210324031340
65313510312100
7605101541601
oct131741715204
934138034370
1012071705220
115135187893
12240a958630
1311a4c7c553
148273656a8
154a9bd6830
hex2cf879a84

12071705220 has 72 divisors (see below), whose sum is σ = 36836864064. Its totient is φ = 3199837248.

The previous prime is 12071705197. The next prime is 12071705221. The reversal of 12071705220 is 2250717021.

12071705220 is a `hidden beast` number, since 1 + 2 + 0 + 71 + 70 + 522 + 0 = 666.

12071705220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12071705221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170734 + ... + 230853.

It is an arithmetic number, because the mean of its divisors is an integer number (511623112).

Almost surely, 212071705220 is an apocalyptic number.

12071705220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12071705220 is an abundant number, since it is smaller than the sum of its proper divisors (24765158844).

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

12071705220 is a wasteful number, since it uses less digits than its factorization.

12071705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401769 (or 401764 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 12071705220 in words is "twelve billion, seventy-one million, seven hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 401587 803174 1204761 1606348 2007935 2409522 3614283 4015870 4819044 6023805 7228566 8031740 12047610 14457132 18071415 24095220 36142830 67065029 72285660 134130058 201195087 268260116 335325145 402390174 603585261 670650290 804780348 1005975435 1207170522 1341300580 2011950870 2414341044 3017926305 4023901740 6035852610 12071705220