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12422014020 = 22325135308553
BaseRepresentation
bin10111001000110100…
…01110010001000100
31012001201012200202100
423210122032101010
5200420013422040
65412342512100
7616554243213
oct134432162104
935051180670
1012422014020
1152a49a2a99
1224a8135630
13122c713170
1485bab307a
154ca831b30
hex2e468e444

12422014020 has 72 divisors (see below), whose sum is σ = 40578586776. Its totient is φ = 3057725952.

The previous prime is 12422014013. The next prime is 12422014051. The reversal of 12422014020 is 2041022421.

12422014020 is a `hidden beast` number, since 1 + 242 + 20 + 1 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 830477124 + 11591536896 = 28818^2 + 107664^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12422013984 and 12422014002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2651937 + ... + 2656616.

It is an arithmetic number, because the mean of its divisors is an integer number (563591483).

Almost surely, 212422014020 is an apocalyptic number.

12422014020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422014020 is an abundant number, since it is smaller than the sum of its proper divisors (28156572756).

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

12422014020 is a wasteful number, since it uses less digits than its factorization.

12422014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308581 (or 5308576 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12422014020 its reverse (2041022421), we get a palindrome (14463036441).

The spelling of 12422014020 in words is "twelve billion, four hundred twenty-two million, fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5308553 10617106 15925659 21234212 26542765 31851318 47776977 53085530 63702636 69011189 79628295 95553954 106171060 138022378 159256590 191107908 207033567 238884885 276044756 318513180 345055945 414067134 477769770 621100701 690111890 828134268 955539540 1035167835 1242201402 1380223780 2070335670 2484402804 3105503505 4140671340 6211007010 12422014020