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12211100230120 = 2351124644754319
BaseRepresentation
bin1011000110110001111001…
…0010101010000111101000
31121020100222120101220101221
42301230132102222013220
53100031313124330440
641545411344351424
72400136306243321
oct261543622520750
947210876356357
1012211100230120
113988775812200
121452714915574
136a766a62a85c
1430303ddc1448
1516298ab31d4a
hexb1b1e4aa1e8

12211100230120 has 96 divisors (see below), whose sum is σ = 30200972659200. Its totient is φ = 4440222737280.

The previous prime is 12211100230081. The next prime is 12211100230213. The reversal of 12211100230120 is 2103200111221.

It is a super-2 number, since 2×122111002301202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211100230094 and 12211100230103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224776321 + ... + 224830639.

It is an arithmetic number, because the mean of its divisors is an integer number (314593465200).

Almost surely, 212211100230120 is an apocalyptic number.

12211100230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211100230120 is an abundant number, since it is smaller than the sum of its proper divisors (17989872429080).

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

12211100230120 is a wasteful number, since it uses less digits than its factorization.

12211100230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100799 (or 100784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211100230120 its reverse (2103200111221), we get a palindrome (14314300341341).

The spelling of 12211100230120 in words is "twelve trillion, two hundred eleven billion, one hundred million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46447 54319 92894 108638 185788 217276 232235 271595 371576 434552 464470 510917 543190 597509 928940 1021834 1086380 1195018 1857880 2043668 2172760 2390036 2554585 2987545 4087336 4780072 5109170 5620087 5975090 6572599 10218340 11240174 11950180 13145198 20436680 22480348 23900360 26290396 28100435 32862995 44960696 52580792 56200870 65725990 112401740 131451980 224803480 262903960 2522954593 5045909186 10091818372 12614772965 20183636744 25229545930 27752500523 50459091860 55505001046 100918183720 111010002092 138762502615 222020004184 277525005230 305277505753 555050010460 610555011506 1110100020920 1221110023012 1526387528765 2442220046024 3052775057530 6105550115060 12211100230120