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12212011101210 = 2354783161964453
BaseRepresentation
bin1011000110110101010010…
…0101010110110000011010
31121020110100001100221122020
42301231110211112300122
53100040144320214320
641550042003435310
72400201006440214
oct261552445266032
947213301327566
1012212011101210
1139890a299a128
121452929985b36
136a778425c42b
143030c8d6b5b4
151629e0aa9940
hexb1b54956c1a

12212011101210 has 128 divisors (see below), whose sum is σ = 30312231505920. Its totient is φ = 3146853947136.

The previous prime is 12212011101209. The next prime is 12212011101217. The reversal of 12212011101210 is 1210111021221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212011101210.

It is not an unprimeable number, because it can be changed into a prime (12212011101217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189439344 + ... + 189503796.

It is an arithmetic number, because the mean of its divisors is an integer number (236814308640).

Almost surely, 212212011101210 is an apocalyptic number.

12212011101210 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 12212011101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156115752960).

12212011101210 is an abundant number, since it is smaller than the sum of its proper divisors (18100220404710).

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

12212011101210 is a wasteful number, since it uses less digits than its factorization.

12212011101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66212.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212011101210 its reverse (1210111021221), we get a palindrome (13422122122431).

The spelling of 12212011101210 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 83 94 141 166 235 249 282 415 470 498 705 830 1245 1410 1619 2490 3238 3901 4857 7802 8095 9714 11703 16190 19505 23406 24285 39010 48570 58515 64453 76093 117030 128906 134377 152186 193359 228279 268754 322265 380465 386718 403131 456558 644530 671885 760930 806262 966795 1141395 1343770 1933590 2015655 2282790 3029291 4031310 5349599 6058582 6315719 9087873 10699198 12631438 15146455 16048797 18175746 18947157 26747995 30292910 31578595 32097594 37894314 45439365 53495990 63157190 80243985 90878730 94735785 104349407 160487970 189471570 208698814 251431153 313048221 502862306 521747035 626096442 754293459 1043494070 1257155765 1508586918 1565241105 2514311530 3130482210 3771467295 4904422129 7542934590 8661000781 9808844258 14713266387 17322001562 24522110645 25983002343 29426532774 43305003905 49044221290 51966004686 73566331935 86610007810 129915011715 147132663870 259830023430 407067036707 814134073414 1221201110121 2035335183535 2442402220242 4070670367070 6106005550605 12212011101210