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12203230112320 = 265134180170177
BaseRepresentation
bin1011000110010100100100…
…1100100010101001000000
31121012121200002101111101111
42301211021030202221000
53044414203402043240
641542030404413104
72366440263323422
oct261451114425100
947177602344344
1012203230112320
1139853a7296215
1214510990a7194
136a69b4c91710
143028d4a86812
15162679c401ea
hexb1949322a40

12203230112320 has 112 divisors (see below), whose sum is σ = 31295439505008. Its totient is φ = 4505636044800.

The previous prime is 12203230112299. The next prime is 12203230112323. The reversal of 12203230112320 is 2321103230221.

It can be written as a sum of positive squares in 8 ways, for example, as 7806123075136 + 4397107037184 = 2793944^2 + 2096928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12203230112291 and 12203230112300.

It is not an unprimeable number, because it can be changed into a prime (12203230112323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173857072 + ... + 173927248.

It is an arithmetic number, because the mean of its divisors is an integer number (279423567009).

Almost surely, 212203230112320 is an apocalyptic number.

12203230112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12203230112320 is an abundant number, since it is smaller than the sum of its proper divisors (19092209392688).

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

12203230112320 is a wasteful number, since it uses less digits than its factorization.

12203230112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112008 (or 111998 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12203230112320 its reverse (2321103230221), we get a palindrome (14524333342541).

The spelling of 12203230112320 in words is "twelve trillion, two hundred three billion, two hundred thirty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 41801 70177 83602 140354 167204 209005 280708 334408 350885 418010 543413 561416 668816 701770 836020 912301 1086826 1122832 1337632 1403540 1672040 1824602 2173652 2245664 2675264 2717065 2807080 3344080 3649204 4347304 4491328 4561505 5434130 5614160 6688160 7298408 8694608 9123010 10868260 11228320 13376320 14596816 17389216 18246020 21736520 22456640 29193632 34778432 36492040 43473040 58387264 72984080 86946080 145968160 173892160 291936320 2933468777 5866937554 11733875108 14667343885 23467750216 29334687770 38135094101 46935500432 58669375540 76270188202 93871000864 117338751080 152540376404 187742001728 190675470505 234677502160 305080752808 381350941010 469355004320 610161505616 762701882020 938710008640 1220323011232 1525403764040 2440646022464 3050807528080 6101615056160 12203230112320