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12040422100 = 22527210124329
BaseRepresentation
bin10110011011010101…
…00100001011010100
31011002010011211001021
423031222210023110
5144124322001400
65310432010524
7604241620300
oct131552441324
934063154037
1012040422100
115119560373
122400390a44
13119b648525
14823140d00
154a70a771a
hex2cdaa42d4

12040422100 has 108 divisors (see below), whose sum is σ = 30695652540. Its totient is φ = 4087104000.

The previous prime is 12040422077. The next prime is 12040422157. The reversal of 12040422100 is 122404021.

It can be written as a sum of positive squares in 6 ways, for example, as 1173610564 + 10866811536 = 34258^2 + 104244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482736 + ... + 507064.

It is an arithmetic number, because the mean of its divisors is an integer number (284219005).

Almost surely, 212040422100 is an apocalyptic number.

12040422100 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 12040422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347826270).

12040422100 is an abundant number, since it is smaller than the sum of its proper divisors (18655230440).

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

12040422100 is a wasteful number, since it uses less digits than its factorization.

12040422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24458 (or 24444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12040422100 its reverse (122404021), we get a palindrome (12162826121).

The spelling of 12040422100 in words is "twelve billion, forty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 350 404 490 505 700 707 980 1010 1225 1414 2020 2450 2525 2828 3535 4900 4949 5050 7070 9898 10100 14140 17675 19796 24329 24745 35350 48658 49490 70700 97316 98980 121645 123725 170303 243290 247450 340606 486580 494900 608225 681212 851515 1192121 1216450 1703030 2384242 2432900 2457229 3406060 4257575 4768484 4914458 5960605 8515150 9828916 11921210 12286145 17030300 17200603 23842420 24572290 29803025 34401206 49144580 59606050 61430725 68802412 86003015 119212100 120404221 122861450 172006030 240808442 245722900 344012060 430015075 481616884 602021105 860030150 1204042210 1720060300 2408084420 3010105525 6020211050 12040422100