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13200124120 = 2352383172867
BaseRepresentation
bin11000100101100100…
…11110100011011000
31021001221100210010221
430102302132203120
5204013212432440
610021500245424
7645053126611
oct142262364330
937057323127
1013200124120
115664142697
122684840874
1313249a0641
148d3180c08
15523cd2d4a
hex312c9e8d8

13200124120 has 64 divisors (see below), whose sum is σ = 31365169920. Its totient is φ = 4989604224.

The previous prime is 13200124073. The next prime is 13200124123. The reversal of 13200124120 is 2142100231.

It is a junction number, because it is equal to n+sod(n) for n = 13200124094 and 13200124103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200124123) 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, 10074 + ... + 162793.

It is an arithmetic number, because the mean of its divisors is an integer number (490080780).

Almost surely, 213200124120 is an apocalyptic number.

13200124120 is a gapful number since it is divisible by the number (10) 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 13200124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682584960).

13200124120 is an abundant number, since it is smaller than the sum of its proper divisors (18165045800).

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

13200124120 is a wasteful number, since it uses less digits than its factorization.

13200124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172984 (or 172980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13200124120 its reverse (2142100231), we get a palindrome (15342224351).

The spelling of 13200124120 in words is "thirteen billion, two hundred million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1909 3320 3818 7636 9545 15272 19090 38180 76360 172867 345734 691468 864335 1382936 1728670 3457340 3975941 6914680 7951882 14347961 15903764 19879705 28695922 31807528 39759410 57391844 71739805 79518820 114783688 143479610 159037640 286959220 330003103 573918440 660006206 1320012412 1650015515 2640024824 3300031030 6600062060 13200124120