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12432004052520 = 23351323893335803
BaseRepresentation
bin1011010011101000110100…
…1011110111011000101000
31122000111011201220210101210
42310322031023313120220
53112141221014140040
642235103412113120
72422116435613053
oct264721513673050
948014151823353
1012432004052520
113a63424205588
1214894a50057a0
136c2443658ac0
1430d9d841ba9a
151685b9356480
hexb4e8d2f7628

12432004052520 has 128 divisors (see below), whose sum is σ = 40181760662400. Its totient is φ = 3058903747584.

The previous prime is 12432004052509. The next prime is 12432004052539. The reversal of 12432004052520 is 2525040023421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2058939 + ... + 5394741.

It is an arithmetic number, because the mean of its divisors is an integer number (313920005175).

Almost surely, 212432004052520 is an apocalyptic number.

12432004052520 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 12432004052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090880331200).

12432004052520 is an abundant number, since it is smaller than the sum of its proper divisors (27749756609880).

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

12432004052520 is a wasteful number, since it uses less digits than its factorization.

12432004052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338219 (or 3338215 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12432004052520 its reverse (2525040023421), we get a palindrome (14957044075941).

The spelling of 12432004052520 in words is "twelve trillion, four hundred thirty-two billion, four million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2389 4778 7167 9556 11945 14334 19112 23890 28668 31057 35835 47780 57336 62114 71670 93171 95560 124228 143340 155285 186342 248456 286680 310570 372684 465855 621140 745368 931710 1242280 1863420 3335803 3726840 6671606 10007409 13343212 16679015 20014818 26686424 33358030 40029636 43365439 50037045 66716060 80059272 86730878 100074090 130096317 133432120 173461756 200148180 216827195 260192634 346923512 400296360 433654390 520385268 650481585 867308780 1040770536 1300963170 1734617560 2601926340 5203852680 7969233367 15938466734 23907700101 31876933468 39846166835 47815400202 63753866936 79692333670 95630800404 103600033771 119538500505 159384667340 191261600808 207200067542 239077001010 310800101313 318769334680 414400135084 478154002020 518000168855 621600202626 828800270168 956308004040 1036000337710 1243200405252 1554000506565 2072000675420 2486400810504 3108001013130 4144001350840 6216002026260 12432004052520