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12123040122 = 235199712491
BaseRepresentation
bin10110100101001011…
…01110100101111010
31011021212122020200000
423102211232211322
5144311444240442
65322542453430
7606264066204
oct132245564572
934255566600
1012123040122
11516115a526
122423b94276
1311b27b442b
148300c9774
154ae476d4c
hex2d296e97a

12123040122 has 48 divisors (see below), whose sum is σ = 27255245472. Its totient is φ = 4038666480.

The previous prime is 12123040109. The next prime is 12123040129. The reversal of 12123040122 is 22104032121.

It is a happy number.

12123040122 is a `hidden beast` number, since 1 + 212 + 30 + 401 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12123040095 and 12123040104.

It is not an unprimeable number, because it can be changed into a prime (12123040129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 964297 + ... + 976787.

It is an arithmetic number, because the mean of its divisors is an integer number (567817614).

Almost surely, 212123040122 is an apocalyptic number.

12123040122 is an abundant number, since it is smaller than the sum of its proper divisors (15132205350).

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

12123040122 is a wasteful number, since it uses less digits than its factorization.

12123040122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123040122 its reverse (22104032121), we get a palindrome (34227072243).

The spelling of 12123040122 in words is "twelve billion, one hundred twenty-three million, forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1997 3994 5991 11982 12491 17973 24982 35946 37473 53919 74946 107838 112419 161757 224838 323514 337257 485271 674514 970542 1011771 2023542 3035313 6070626 24944527 49889054 74833581 149667162 224500743 449001486 673502229 1347004458 2020506687 4041013374 6061520061 12123040122