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12123013110 = 2351377340213
BaseRepresentation
bin10110100101001011…
…00111111111110110
31011021212120212121120
423102211213333312
5144311442404420
65322542124410
7606263624355
oct132245477766
934255525546
1012123013110
1151611411aa
122423b80706
1311b27a5050
148300bd99c
154ae46dd40
hex2d2967ff6

12123013110 has 64 divisors (see below), whose sum is σ = 31374641088. Its totient is φ = 2980191744.

The previous prime is 12123013093. The next prime is 12123013169. The reversal of 12123013110 is 1131032121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123013110.

It is a congruent number.

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, 281364 + ... + 321576.

It is an arithmetic number, because the mean of its divisors is an integer number (490228767).

Almost surely, 212123013110 is an apocalyptic number.

12123013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687320544).

12123013110 is an abundant number, since it is smaller than the sum of its proper divisors (19251627978).

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

12123013110 is a wasteful number, since it uses less digits than its factorization.

12123013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41009.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12123013110 its reverse (1131032121), we get a palindrome (13254045231).

The spelling of 12123013110 in words is "twelve billion, one hundred twenty-three million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 773 1546 2319 3865 4638 7730 10049 11595 20098 23190 30147 40213 50245 60294 80426 100490 120639 150735 201065 241278 301470 402130 522769 603195 1045538 1206390 1568307 2613845 3136614 5227690 7841535 15683070 31084649 62169298 93253947 155423245 186507894 310846490 404100437 466269735 808200874 932539470 1212301311 2020502185 2424602622 4041004370 6061506555 12123013110