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12300424400 = 2452112254141
BaseRepresentation
bin10110111010010100…
…11001010011010000
31011202020102022011002
423131022121103100
5200142402040100
65352320441132
7613546611425
oct133512312320
934666368132
1012300424400
1152422a5a00
1224734791a8
131210480844
148498a1d4c
154bed152d5
hex2dd2994d0

12300424400 has 90 divisors (see below), whose sum is σ = 32482651446. Its totient is φ = 4472864000.

The previous prime is 12300424397. The next prime is 12300424427. The reversal of 12300424400 is 442400321.

It can be written as a sum of positive squares in 3 ways, for example, as 306670144 + 11993754256 = 17512^2 + 109516^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78671 + ... + 175470.

Almost surely, 212300424400 is an apocalyptic number.

12300424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300424400 is an abundant number, since it is smaller than the sum of its proper divisors (20182227046).

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

12300424400 is a wasteful number, since it uses less digits than its factorization.

12300424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254181 (or 254159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12300424400 its reverse (442400321), we get a palindrome (12742824721).

The spelling of 12300424400 in words is "twelve billion, three hundred million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 254141 508282 1016564 1270705 2033128 2541410 2795551 4066256 5082820 5591102 6353525 10165640 11182204 12707050 13977755 20331280 22364408 25414100 27955510 30751061 44728816 50828200 55911020 61502122 69888775 101656400 111822040 123004244 139777550 153755305 223644080 246008488 279555100 307510610 492016976 559110200 615021220 768776525 1118220400 1230042440 1537553050 2460084880 3075106100 6150212200 12300424400