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123201110112 = 25313714962869
BaseRepresentation
bin111001010111101011…
…0111100000001100000
3102210000002121212001020
41302233112330001200
54004303441010422
6132333043205440
711621016104643
oct1625726740140
9383002555036
10123201110112
11482818a6573
121ba63976880
13b805454272
145d6a53da5a
15331102295c
hex1caf5bc060

123201110112 has 96 divisors (see below), whose sum is σ = 327955068000. Its totient is φ = 40493027328.

The previous prime is 123201110111. The next prime is 123201110119. The reversal of 123201110112 is 211011102321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123201110091 and 123201110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928214 + ... + 1991082.

It is an arithmetic number, because the mean of its divisors is an integer number (3416198625).

Almost surely, 2123201110112 is an apocalyptic number.

123201110112 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 123201110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163977534000).

123201110112 is an abundant number, since it is smaller than the sum of its proper divisors (204753957888).

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

123201110112 is a wasteful number, since it uses less digits than its factorization.

123201110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63168 (or 63160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 123201110112 its reverse (211011102321), we get a palindrome (334212212433).

The spelling of 123201110112 in words is "one hundred twenty-three billion, two hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 149 274 298 411 447 548 596 822 894 1096 1192 1644 1788 2192 2384 3288 3576 4384 4768 6576 7152 13152 14304 20413 40826 61239 62869 81652 122478 125738 163304 188607 244956 251476 326608 377214 489912 502952 653216 754428 979824 1005904 1508856 1959648 2011808 3017712 6035424 8613053 9367481 17226106 18734962 25839159 28102443 34452212 37469924 51678318 56204886 68904424 74939848 103356636 112409772 137808848 149879696 206713272 224819544 275617696 299759392 413426544 449639088 826853088 899278176 1283344897 2566689794 3850034691 5133379588 7700069382 10266759176 15400138764 20533518352 30800277528 41067036704 61600555056 123201110112