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12212340525 = 3252711704897
BaseRepresentation
bin10110101111110100…
…11000011100101101
31011112002200011210100
423113322120130231
5200002324344100
65335452501313
7611430116220
oct132772303455
934462604710
1012212340525
1151a7603210
122449a7a839
1311c814cac8
1483bcd35b7
154b7216400
hex2d7e9872d

12212340525 has 72 divisors (see below), whose sum is σ = 27271093824. Its totient is φ = 5075251200.

The previous prime is 12212340487. The next prime is 12212340527. The reversal of 12212340525 is 52504321221.

12212340525 is a `hidden beast` number, since 12 + 2 + 123 + 4 + 0 + 525 = 666.

It is not a de Polignac number, because 12212340525 - 212 = 12212336429 is a prime.

It is a super-2 number, since 2×122123405252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212340527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335124 + ... + 369773.

It is an arithmetic number, because the mean of its divisors is an integer number (378765192).

Almost surely, 212212340525 is an apocalyptic number.

12212340525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12212340525 is an abundant number, since it is smaller than the sum of its proper divisors (15058753299).

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

12212340525 is a wasteful number, since it uses less digits than its factorization.

12212340525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704931 (or 704923 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12212340525 its reverse (52504321221), we get a palindrome (64716661746).

The spelling of 12212340525 in words is "twelve billion, two hundred twelve million, three hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 704897 2114691 3524485 4934279 6344073 7753867 10573455 14802837 17622425 23261601 24671395 31720365 38769335 44408511 52867275 54277069 69784803 74014185 116308005 123356975 158601825 162831207 193846675 222042555 271385345 348924015 370070925 488493621 581540025 814156035 1110212775 1356926725 1744620075 2442468105 4070780175 12212340525