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12211021221030 = 2325577877268123
BaseRepresentation
bin1011000110110001100110…
…0101010000110010100110
31121020100210001201211022100
42301230121211100302212
53100031132413033110
641545355443112530
72400134326545162
oct261543145206246
947210701654270
1012211021221030
113988735158535
1214526b2372746
136a7657156508
143030336d5ca2
15162983c26bc0
hexb1b19950ca6

12211021221030 has 96 divisors (see below), whose sum is σ = 31840061763744. Its totient is φ = 3246910230528.

The previous prime is 12211021220989. The next prime is 12211021221041. The reversal of 12211021221030 is 3012212011221.

12211021221030 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 212 + 210 + 30 = 666.

It is a super-2 number, since 2×122110212210302 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12211021220994 and 12211021221012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45408549 + ... + 45676671.

It is an arithmetic number, because the mean of its divisors is an integer number (331667310039).

Almost surely, 212211021221030 is an apocalyptic number.

12211021221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211021221030 is an abundant number, since it is smaller than the sum of its proper divisors (19629040542714).

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

12211021221030 is a wasteful number, since it uses less digits than its factorization.

12211021221030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269590 (or 269587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211021221030 its reverse (3012212011221), we get a palindrome (15223233232251).

The spelling of 12211021221030 in words is "twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 577 877 1154 1731 1754 2631 2885 3462 4385 5193 5262 5770 7893 8655 8770 10386 13155 15786 17310 25965 26310 39465 51930 78930 268123 506029 536246 804369 1012058 1340615 1518087 1608738 2413107 2530145 2681230 3036174 4021845 4554261 4826214 5060290 7590435 8043690 9108522 12065535 15180870 22771305 24131070 45542610 154706971 235143871 309413942 464120913 470287742 705431613 773534855 928241826 1175719355 1392362739 1410863226 1547069710 2116294839 2320604565 2351438710 2784725478 3527158065 4232589678 4641209130 6961813695 7054316130 10581474195 13923627390 21162948390 135678013567 271356027134 407034040701 678390067835 814068081402 1221102122103 1356780135670 2035170203505 2442204244206 4070340407010 6105510610515 12211021221030