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12260153431424 = 27711507389501
BaseRepresentation
bin1011001001101000101000…
…0101110001010110000000
31121102001121011122201101102
42302122022011301112000
53101332243234301144
642024123044553532
72403524013465113
oct262321205612600
947361534581342
1012260153431424
1139a7557a99398
1214601246b28a8
136ac187199962
14305574a9257a
15163dac303b4e
hexb268a171580

12260153431424 has 64 divisors (see below), whose sum is σ = 24770451797280. Its totient is φ = 6043269120000.

The previous prime is 12260153431423. The next prime is 12260153431451. The reversal of 12260153431424 is 42413435106221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×122601534314242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12260153431423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 136938674 + ... + 137028174.

Almost surely, 212260153431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260153431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385225898640).

12260153431424 is an abundant number, since it is smaller than the sum of its proper divisors (12510298365856).

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

12260153431424 is an equidigital number, since it uses as much as digits as its factorization.

12260153431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104659 (or 104647 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 12260153431424 its reverse (42413435106221), we get a palindrome (54673588537645).

The spelling of 12260153431424 in words is "twelve trillion, two hundred sixty billion, one hundred fifty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 15073 30146 60292 89501 120584 179002 241168 358004 482336 716008 964672 1070183 1432016 1929344 2140366 2864032 4280732 5728064 6354571 8561464 11456128 12709142 17122928 25418284 34245856 50836568 68491712 101673136 136983424 203346272 406692544 813385088 1349048573 2698097146 5396194292 10792388584 21584777168 43169554336 86339108672 95782448683 172678217344 191564897366 383129794732 766259589464 1532519178928 3065038357856 6130076715712 12260153431424