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20136225006120 = 2335313601892027
BaseRepresentation
bin1001001010000010101001…
…00010011110001000101000
32122022000010010211211022210
410211001110202132020220
510114402442100143440
6110454242024445120
74145536266331056
oct445012442361050
978260103754283
1020136225006120
1164637a807a423
1223126510197a0
13b30ab7a55532
144d88543871d6
1524dbc947aa80
hex12505489e228

20136225006120 has 128 divisors (see below), whose sum is σ = 60702576762240. Its totient is φ = 5343592550400.

The previous prime is 20136225006059. The next prime is 20136225006127. The reversal of 20136225006120 is 2160052263102.

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

It is not an unprimeable number, because it can be changed into a prime (20136225006127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22127547 + ... + 23019573.

It is an arithmetic number, because the mean of its divisors is an integer number (474238880955).

Almost surely, 220136225006120 is an apocalyptic number.

20136225006120 is a gapful number since it is divisible by the number (20) 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 20136225006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30351288381120).

20136225006120 is an abundant number, since it is smaller than the sum of its proper divisors (40566351756120).

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

20136225006120 is a wasteful number, since it uses less digits than its factorization.

20136225006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892955 (or 892951 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 20136225006120 its reverse (2160052263102), we get a palindrome (22296277269222).

The spelling of 20136225006120 in words is "twenty trillion, one hundred thirty-six billion, two hundred twenty-five million, six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 601 626 939 1202 1252 1565 1803 1878 2404 2504 3005 3130 3606 3756 4695 4808 6010 6260 7212 7512 9015 9390 12020 12520 14424 18030 18780 24040 36060 37560 72120 188113 376226 564339 752452 892027 940565 1128678 1504904 1784054 1881130 2257356 2676081 2821695 3568108 3762260 4460135 4514712 5352162 5643390 7136216 7524520 8920270 10704324 11286780 13380405 17840540 21408648 22573560 26760810 35681080 53521620 107043240 279204451 536108227 558408902 837613353 1072216454 1116817804 1396022255 1608324681 1675226706 2144432908 2233635608 2680541135 2792044510 3216649362 3350453412 4188066765 4288865816 5361082270 5584089020 6433298724 6700906824 8041623405 8376133530 10722164540 11168178040 12866597448 16083246810 16752267060 21444329080 32166493620 33504534120 64332987240 167801875051 335603750102 503405625153 671207500204 839009375255 1006811250306 1342415000408 1678018750510 2013622500612 2517028125765 3356037501020 4027245001224 5034056251530 6712075002040 10068112503060 20136225006120