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12212102100220 = 22511149431864379
BaseRepresentation
bin1011000110110101101000…
…0000011111010011111100
31121020110120101121011210221
42301231122000133103330
53100040341114201340
641550055014111124
72400203163063361
oct261553200372374
947213511534727
1012212102100220
11398913a2a3020
12145295434b4a4
136a779a070cb9
143030d7098468
151629e8a8244a
hexb1b5a01f4fc

12212102100220 has 96 divisors (see below), whose sum is σ = 28229959296000. Its totient is φ = 4400721273600.

The previous prime is 12212102100179. The next prime is 12212102100229. The reversal of 12212102100220 is 2200120121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12212102100194 and 12212102100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212102100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13695991 + ... + 14560369.

It is an arithmetic number, because the mean of its divisors is an integer number (294062076000).

Almost surely, 212212102100220 is an apocalyptic number.

12212102100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212102100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114979648000).

12212102100220 is an abundant number, since it is smaller than the sum of its proper divisors (16017857195780).

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

12212102100220 is a wasteful number, since it uses less digits than its factorization.

12212102100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864979 (or 864977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212102100220 its reverse (2200120121221), we get a palindrome (14412222221441).

The spelling of 12212102100220 in words is "twelve trillion, two hundred twelve billion, one hundred two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 431 596 745 862 1490 1639 1724 2155 2980 3278 4310 4741 6556 8195 8620 9482 16390 18964 23705 32780 47410 64219 94820 128438 256876 321095 642190 706409 864379 1284380 1412818 1728758 2825636 3457516 3532045 4321895 7064090 8643790 9508169 14128180 17287580 19016338 38032676 47540845 95081690 128792471 190163380 257584942 372547349 515169884 643962355 745094698 1287924710 1416717181 1490189396 1862736745 2575849420 2833434362 3725473490 4098020839 5666868724 7083585905 7450946980 8196041678 14167171810 16392083356 20490104195 28334343620 40980208390 55509555001 81960416780 111019110002 222038220004 277547775005 555095550010 610605105011 1110191100020 1221210210022 2442420420044 3053025525055 6106051050110 12212102100220