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12212005410 = 23251161202219
BaseRepresentation
bin10110101111110010…
…00110101000100010
31011112002001011002200
423113321012220202
5200002233133120
65335441354030
7611424222213
oct132771065042
934462034080
1012212005410
1151a73a4460
122449938916
1311c8063407
1483bc4740a
154b719be90
hex2d7e46a22

12212005410 has 96 divisors (see below), whose sum is σ = 35205693120. Its totient is φ = 2911939200.

The previous prime is 12212005409. The next prime is 12212005469. The reversal of 12212005410 is 1450021221.

12212005410 is a `hidden beast` number, since 1 + 2 + 2 + 120 + 0 + 541 + 0 = 666.

12212005410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122120054102 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40720 + ... + 161499.

It is an arithmetic number, because the mean of its divisors is an integer number (366725970).

Almost surely, 212212005410 is an apocalyptic number.

12212005410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12212005410 is an abundant number, since it is smaller than the sum of its proper divisors (22993687710).

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

12212005410 is a wasteful number, since it uses less digits than its factorization.

12212005410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202304 (or 202301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12212005410 its reverse (1450021221), we get a palindrome (13662026631).

The spelling of 12212005410 in words is "twelve billion, two hundred twelve million, five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 10065 12078 20130 30195 60390 202219 404438 606657 1011095 1213314 1819971 2022190 2224409 3033285 3639942 4448818 6066570 6673227 9099855 11122045 12335359 13346454 18199710 20019681 22244090 24670718 33366135 37006077 40039362 61676795 66732270 74012154 100098405 111018231 123353590 135688949 185030385 200196810 222036462 271377898 370060770 407066847 555091155 678444745 814133694 1110182310 1221200541 1356889490 2035334235 2442401082 4070668470 6106002705 12212005410