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12171012100 = 22521383112799
BaseRepresentation
bin10110101010111001…
…01110100000000100
31011102012220110211221
423111130232200010
5144411234341400
65331415010124
7610415616202
oct132534564004
934365813757
1012171012100
115186245595
122438069944
1311bc70c710
14836616072
154b37a0c1a
hex2d572e804

12171012100 has 72 divisors (see below), whose sum is σ = 28785657600. Its totient is φ = 4439729280.

The previous prime is 12171012037. The next prime is 12171012103. The reversal of 12171012100 is 121017121.

It is not an unprimeable number, because it can be changed into a prime (12171012103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51501 + ... + 164299.

It is an arithmetic number, because the mean of its divisors is an integer number (399800800).

Almost surely, 212171012100 is an apocalyptic number.

12171012100 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 12171012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392828800).

12171012100 is an abundant number, since it is smaller than the sum of its proper divisors (16614645500).

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

12171012100 is a wasteful number, since it uses less digits than its factorization.

12171012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112909 (or 112902 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 12171012100 its reverse (121017121), we get a palindrome (12292029221).

The spelling of 12171012100 in words is "twelve billion, one hundred seventy-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 4150 4316 5395 8300 10790 21580 26975 53950 107900 112799 225598 451196 563995 1127990 1466387 2255980 2819975 2932774 5639950 5865548 7331935 9362317 11279900 14663870 18724634 29327740 36659675 37449268 46811585 73319350 93623170 121710121 146638700 187246340 234057925 243420242 468115850 486840484 608550605 936231700 1217101210 2434202420 3042753025 6085506050 12171012100