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12340341110112 = 2531511787476381
BaseRepresentation
bin1011001110010011010110…
…1001011111010101100000
31121200201120120220212010220
42303210311221133111200
53104141004311010422
642125024025123040
72412363104505651
oct263446551372540
947621516825126
1012340341110112
113a28566932224
121473783329480
136b68c6163742
143093c0723528
15166001ee5e5c
hexb3935a5f560

12340341110112 has 96 divisors (see below), whose sum is σ = 32626236996864. Its totient is φ = 4083910464000.

The previous prime is 12340341110093. The next prime is 12340341110147. The reversal of 12340341110112 is 21101114304321.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25666162 + ... + 26142542.

It is an arithmetic number, because the mean of its divisors is an integer number (339856635384).

Almost surely, 212340341110112 is an apocalyptic number.

12340341110112 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 12340341110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313118498432).

12340341110112 is an abundant number, since it is smaller than the sum of its proper divisors (20285895886752).

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

12340341110112 is a wasteful number, since it uses less digits than its factorization.

12340341110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478332 (or 478324 counting only the distinct ones).

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

Adding to 12340341110112 its reverse (21101114304321), we get a palindrome (33441455414433).

The spelling of 12340341110112 in words is "twelve trillion, three hundred forty billion, three hundred forty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1787 1812 2416 3574 3624 4832 5361 7148 7248 10722 14296 14496 21444 28592 42888 57184 85776 171552 269837 476381 539674 809511 952762 1079348 1429143 1619022 1905524 2158696 2858286 3238044 3811048 4317392 5716572 6476088 7622096 8634784 11433144 12952176 15244192 22866288 25904352 45732576 71933531 143867062 215800593 287734124 431601186 575468248 851292847 863202372 1150936496 1702585694 1726404744 2301872992 2553878541 3405171388 3452809488 5107757082 6810342776 6905618976 10215514164 13620685552 20431028328 27241371104 40862056656 81724113312 128545219897 257090439794 385635659691 514180879588 771271319382 1028361759176 1542542638764 2056723518352 3085085277528 4113447036704 6170170555056 12340341110112