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12123305440 = 255107708137
BaseRepresentation
bin10110100101001101…
…01111010111100000
31011021220010201121121
423102212233113200
5144312031233230
65322552302024
7606266252551
oct132246572740
934256121547
1012123305440
1151613208a4
1224240a1914
1311b287811c
14830158328
154ae4ca77a
hex2d29af5e0

12123305440 has 48 divisors (see below), whose sum is σ = 28909025712. Its totient is φ = 4803994624.

The previous prime is 12123305431. The next prime is 12123305449. The reversal of 12123305440 is 4450332121.

It is an interprime number because it is at equal distance from previous prime (12123305431) and next prime (12123305449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123305449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336949 + ... + 371188.

It is an arithmetic number, because the mean of its divisors is an integer number (602271369).

Almost surely, 212123305440 is an apocalyptic number.

12123305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123305440 is an abundant number, since it is smaller than the sum of its proper divisors (16785720272).

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

12123305440 is a wasteful number, since it uses less digits than its factorization.

12123305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708259 (or 708251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 12123305440 its reverse (4450332121), we get a palindrome (16573637561).

The spelling of 12123305440 in words is "twelve billion, one hundred twenty-three million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 708137 1416274 2832548 3540685 5665096 7081370 11330192 14162740 22660384 28325480 56650960 75770659 113301920 151541318 303082636 378853295 606165272 757706590 1212330544 1515413180 2424661088 3030826360 6061652720 12123305440