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12220232201010 = 234573329996863
BaseRepresentation
bin1011000111010011111010…
…0110010111001100110010
31121021020112222211002110000
42301310332212113030302
53100204013420413020
641553521442250430
72400611513564211
oct261647646271462
947236488732400
1012220232201010
113991631551089
121454443056a16
136a8494536722
14303668b4b078
15162d226cb090
hexb1d3e997332

12220232201010 has 160 divisors (see below), whose sum is σ = 32919441984000. Its totient is φ = 3252723702912.

The previous prime is 12220232200987. The next prime is 12220232201039. The reversal of 12220232201010 is 1010223202221.

12220232201010 is a `hidden beast` number, since 1 + 2 + 220 + 232 + 201 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1780592839 + ... + 1780599701.

It is an arithmetic number, because the mean of its divisors is an integer number (205746512400).

Almost surely, 212220232201010 is an apocalyptic number.

12220232201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220232201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459720992000).

12220232201010 is an abundant number, since it is smaller than the sum of its proper divisors (20699209782990).

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

12220232201010 is a wasteful number, since it uses less digits than its factorization.

12220232201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10614 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220232201010 its reverse (1010223202221), we get a palindrome (13230455403231).

The spelling of 12220232201010 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-two million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 733 810 1466 2199 2999 3665 4398 5998 6597 6863 7330 8997 10995 13194 13726 14995 17994 19791 20589 21990 26991 29990 32985 34315 39582 41178 44985 53982 59373 61767 65970 68630 80973 89970 98955 102945 118746 123534 134955 161946 185301 197910 205890 242919 269910 296865 308835 370602 404865 485838 555903 593730 617670 809730 926505 1111806 1214595 1853010 2198267 2429190 2779515 4396534 5030579 5559030 6594801 10061158 10991335 13189602 15091737 19784403 20582137 21982670 25152895 30183474 32974005 39568806 41164274 45275211 50305790 59353209 61746411 65948010 75458685 90550422 98922015 102910685 118706418 123492822 135825633 150917370 178059627 185239233 197844030 205821370 226376055 271651266 296766045 308732055 356119254 370478466 407476899 452752110 555717699 593532090 617464110 679128165 814953798 890298135 926196165 1111435398 1358256330 1667153097 1780596270 1852392330 2037384495 2778588495 3334306194 4074768990 5557176990 8335765485 15086706421 16671530970 30173412842 45260119263 75433532105 90520238526 135780357789 150867064210 226300596315 271560715578 407341073367 452601192630 678901788945 814682146734 1222023220101 1357803577890 2036705366835 2444046440202 4073410733670 6110116100505 12220232201010