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12200102111010 = 23511641391114747
BaseRepresentation
bin1011000110001000111011…
…0000001010011100100010
31121012022121002111120021010
42301202032300022130202
53044341302120023020
641540352144441350
72366266621623162
oct261421660123442
947168532446233
1012200102111010
113984041649570
121450565619256
136a6606c11378
143026b94805a2
15162545314de0
hexb188ec0a722

12200102111010 has 128 divisors (see below), whose sum is σ = 32002267097088. Its totient is φ = 2952031232000.

The previous prime is 12200102111009. The next prime is 12200102111059. The reversal of 12200102111010 is 1011120100221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827286457 + ... + 827301203.

It is an arithmetic number, because the mean of its divisors is an integer number (250017711696).

Almost surely, 212200102111010 is an apocalyptic number.

12200102111010 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 12200102111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001133548544).

12200102111010 is an abundant number, since it is smaller than the sum of its proper divisors (19802164986078).

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

12200102111010 is a wasteful number, since it uses less digits than its factorization.

12200102111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200102111010 its reverse (1011120100221), we get a palindrome (13211222211231).

The spelling of 12200102111010 in words is "twelve trillion, two hundred billion, one hundred two million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 641 1282 1923 3205 3846 3911 6410 7051 7822 9615 11733 14102 14747 19230 19555 21153 23466 29494 35255 39110 42306 43021 44241 58665 70510 73735 86042 88482 105765 117330 129063 147470 162217 211530 215105 221205 258126 324434 430210 442410 486651 645315 811085 973302 1290630 1622170 2433255 2506951 4866510 5013902 7520853 9452827 12534755 15041706 18905654 25069510 27576461 28358481 37604265 47264135 55152922 56716962 57675517 75208530 82729383 94528270 103981097 115351034 137882305 141792405 165458766 173026551 207962194 275764610 283584810 288377585 311943291 346053102 413646915 519905485 576755170 623886582 634430687 827293830 865132755 1039810970 1268861374 1559716455 1730265510 1903292061 3119432910 3172153435 3806584122 6344306870 9516460305 19032920610 36970006397 73940012794 110910019191 184850031985 221820038382 369700063970 406670070367 554550095955 813340140734 1109100191910 1220010211101 2033350351835 2440020422202 4066700703670 6100051055505 12200102111010