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1312241123112 = 233475979249589
BaseRepresentation
bin10011000110000111101…
…010100111111100101000
311122110010100011221022020
4103012013222213330220
5132444432211414422
62442500225224440
7163543362336063
oct23060752477450
94573110157266
101312241123112
114665779a4167
121923a2a92120
13969891b405a
14477272118da
152420392495c
hex13187aa7f28

1312241123112 has 128 divisors (see below), whose sum is σ = 3450332160000. Its totient is φ = 415522089216.

The previous prime is 1312241123059. The next prime is 1312241123153. The reversal of 1312241123112 is 2113211422131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5132814 + ... + 5382402.

It is an arithmetic number, because the mean of its divisors is an integer number (26955720000).

Almost surely, 21312241123112 is an apocalyptic number.

1312241123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312241123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725166080000).

1312241123112 is an abundant number, since it is smaller than the sum of its proper divisors (2138091036888).

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

1312241123112 is a wasteful number, since it uses less digits than its factorization.

1312241123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249783 (or 249779 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1312241123112 its reverse (2113211422131), we get a palindrome (3425452545243).

The spelling of 1312241123112 in words is "one trillion, three hundred twelve billion, two hundred forty-one million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 59 79 94 118 141 158 177 188 236 237 282 316 354 376 472 474 564 632 708 948 1128 1416 1896 2773 3713 4661 5546 7426 8319 9322 11092 11139 13983 14852 16638 18644 22184 22278 27966 29704 33276 37288 44556 55932 66552 89112 111864 219067 249589 438134 499178 657201 748767 876268 998356 1314402 1497534 1752536 1996712 2628804 2995068 5257608 5990136 11730683 14725751 19717531 23461366 29451502 35192049 39435062 44177253 46922732 58903004 59152593 70384098 78870124 88354506 93845464 117806008 118305186 140768196 157740248 176709012 236610372 281536392 353418024 473220744 692110297 926723957 1163334329 1384220594 1853447914 2076330891 2326668658 2768441188 2780171871 3490002987 3706895828 4152661782 4653337316 5536882376 5560343742 6980005974 7413791656 8305323564 9306674632 11120687484 13960011948 16610647128 22241374968 27920023896 54676713463 109353426926 164030140389 218706853852 328060280778 437413707704 656120561556 1312241123112