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12423400020 = 22325472835189
BaseRepresentation
bin10111001000111111…
…00000101001010100
31012001210211002222200
423210133200221110
5200420342300040
65412432324500
7616602105063
oct134437405124
935053732880
1012423400020
1152a575a349
1224a86a3730
13122caa9c95
1485bd541da
154caa07630
hex2e47e0a54

12423400020 has 144 divisors (see below), whose sum is σ = 38629543680. Its totient is φ = 3230339328.

The previous prime is 12423400019. The next prime is 12423400051. The reversal of 12423400020 is 2000432421.

12423400020 is a `hidden beast` number, since 1 + 242 + 3 + 400 + 0 + 20 = 666.

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 = 12423399966 and 12423400002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391586 + ... + 2396774.

It is an arithmetic number, because the mean of its divisors is an integer number (268260720).

Almost surely, 212423400020 is an apocalyptic number.

12423400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19314771840).

12423400020 is an abundant number, since it is smaller than the sum of its proper divisors (26206143660).

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

12423400020 is a wasteful number, since it uses less digits than its factorization.

12423400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12423400020 its reverse (2000432421), we get a palindrome (14423832441).

The spelling of 12423400020 in words is "twelve billion, four hundred twenty-three million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 283 423 470 564 566 705 846 849 940 1132 1410 1415 1692 1698 2115 2547 2820 2830 3396 4230 4245 5094 5189 5660 8460 8490 10188 10378 12735 13301 15567 16980 20756 25470 25945 26602 31134 39903 46701 50940 51890 53204 62268 66505 77835 79806 93402 103780 119709 133010 155670 159612 186804 199515 233505 239418 243883 266020 311340 399030 467010 478836 487766 598545 731649 798060 934020 975532 1197090 1219415 1463298 1468487 2194947 2394180 2438830 2926596 2936974 3658245 4389894 4405461 4877660 5873948 7316490 7342435 8779788 8810922 10974735 13216383 14632980 14684870 17621844 21949470 22027305 26432766 29369740 43898940 44054610 52865532 66081915 69018889 88109220 132163830 138037778 207056667 264327660 276075556 345094445 414113334 621170001 690188890 828226668 1035283335 1242340002 1380377780 2070566670 2484680004 3105850005 4141133340 6211700010 12423400020