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12235150120000 = 26541698118013
BaseRepresentation
bin1011001000001011011111…
…0001101101010001000000
31121022200001122111220011011
42302002313301231101000
53100430041412320000
642004430025130304
72401650266032333
oct262026761552100
947280048456134
1012235150120000
113997997300455
121457307029994
136a9a01074122
143042820c661a
151633e71ca2ba
hexb20b7c6d440

12235150120000 has 140 divisors (see below), whose sum is σ = 30342666922876. Its totient is φ = 4893500160000.

The previous prime is 12235150119979. The next prime is 12235150120043. The reversal of 12235150120000 is 2105153221.

It can be written as a sum of positive squares in 10 ways, for example, as 2683935145984 + 9551214974016 = 1638272^2 + 3090504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679230994 + ... + 679249006.

Almost surely, 212235150120000 is an apocalyptic number.

12235150120000 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 12235150120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171333461438).

12235150120000 is an abundant number, since it is smaller than the sum of its proper divisors (18107516802876).

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

12235150120000 is an equidigital number, since it uses as much as digits as its factorization.

12235150120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35026 (or 35001 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 12235150120000 its reverse (2105153221), we get a palindrome (12237255273221).

The spelling of 12235150120000 in words is "twelve trillion, two hundred thirty-five billion, one hundred fifty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 16981 18013 20000 33962 36026 40000 67924 72052 84905 90065 135848 144104 169810 180130 271696 288208 339620 360260 424525 450325 543392 576416 679240 720520 849050 900650 1086784 1152832 1358480 1441040 1698100 1801300 2122625 2251625 2716960 2882080 3396200 3602600 4245250 4503250 5433920 5764160 6792400 7205200 8490500 9006500 10613125 11258125 13584800 14410400 16981000 18013000 21226250 22516250 27169600 28820800 33962000 36026000 42452500 45032500 67924000 72052000 84905000 90065000 135848000 144104000 169810000 180130000 305878753 339620000 360260000 611757506 679240000 720520000 1223515012 1529393765 2447030024 3058787530 4894060048 6117575060 7646968825 9788120096 12235150120 15293937650 19576240192 24470300240 30587875300 38234844125 48940600480 61175750600 76469688250 97881200960 122351501200 152939376500 191174220625 244703002400 305878753000 382348441250 489406004800 611757506000 764696882500 1223515012000 1529393765000 2447030024000 3058787530000 6117575060000 12235150120000