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12142232012440 = 23519110831441543
BaseRepresentation
bin1011000010110001010101…
…1011010000011010011000
31120222210020000200222000001
42300230111123100122120
53042414242343344230
641454021523422344
72362150554120505
oct260542533203230
946883200628001
1012142232012440
113961545472a22
1214412b4b249b4
136a10138111aa
142dd98981c4ac
15160ca9a840ca
hexb0b156d0698

12142232012440 has 64 divisors (see below), whose sum is σ = 28760532652800. Its totient is φ = 4600848511872.

The previous prime is 12142232012359. The next prime is 12142232012479. The reversal of 12142232012440 is 4421023224121.

It is a junction number, because it is equal to n+sod(n) for n = 12142232012399 and 12142232012408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7702309 + ... + 9143851.

It is an arithmetic number, because the mean of its divisors is an integer number (449383322700).

Almost surely, 212142232012440 is an apocalyptic number.

12142232012440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142232012440 is an abundant number, since it is smaller than the sum of its proper divisors (16618300640360).

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

12142232012440 is a wasteful number, since it uses less digits than its factorization.

12142232012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452656 (or 1452652 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12142232012440 its reverse (4421023224121), we get a palindrome (16563255236561).

The spelling of 12142232012440 in words is "twelve trillion, one hundred forty-two billion, two hundred thirty-two million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 11083 22166 44332 55415 88664 110830 210577 221660 421154 443320 842308 1052885 1441543 1684616 2105770 2883086 4211540 5766172 7207715 8423080 11532344 14415430 27389317 28830860 54778634 57661720 109557268 136946585 219114536 273893170 547786340 1095572680 15976621069 31953242138 63906484276 79883105345 127812968552 159766210690 303555800311 319532421380 607111600622 639064842760 1214223201244 1517779001555 2428446402488 3035558003110 6071116006220 12142232012440