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12222525042 = 23271310769737
BaseRepresentation
bin10110110001000010…
…01110111001110010
31011112210211121022200
423120201032321302
5200012431300132
65340455044030
7611612514540
oct133041167162
934483747280
1012222525042
115202329a72
122451370616
1311ca2a7650
1483d3c4d90
154b8078d7c
hex2d884ee72

12222525042 has 96 divisors (see below), whose sum is σ = 32898483072. Its totient is φ = 3193350912.

The previous prime is 12222525017. The next prime is 12222525079. The reversal of 12222525042 is 24052522221.

It is a happy number.

12222525042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12222524997 and 12222525015.

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, 140398 + ... + 210134.

It is an arithmetic number, because the mean of its divisors is an integer number (342692532).

Almost surely, 212222525042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222525042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449241536).

12222525042 is an abundant number, since it is smaller than the sum of its proper divisors (20675958030).

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

12222525042 is a wasteful number, since it uses less digits than its factorization.

12222525042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69872 (or 69869 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 12222525042 in words is "twelve billion, two hundred twenty-two million, five hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 107 117 126 182 214 234 273 321 546 642 749 819 963 1391 1498 1638 1926 2247 2782 4173 4494 6741 8346 9737 12519 13482 19474 25038 29211 58422 69737 87633 139474 175266 209211 418422 488159 627633 906581 976318 1255266 1464477 1813162 2719743 2928954 4393431 5439486 6346067 7461859 8159229 8786862 12692134 14923718 16318458 19038201 22385577 38076402 44771154 52233013 57114603 67156731 97004167 104466026 114229206 134313462 156699039 194008334 291012501 313398078 470097117 582025002 679029169 873037503 940194234 1358058338 1746075006 2037087507 4074175014 6111262521 12222525042