Search a number
-
+
12120202001000 = 235375116138751
BaseRepresentation
bin1011000001011111010001…
…0101011011101001101000
31120220200100201100102120102
42300113310111123221220
53042034133203013000
641435535520044532
72360440622115062
oct260276425335150
946820321312512
1012120202001000
1139531700692a5
121438b87163748
1369bc126b1c72
142dc899aa8732
1516041a9c83d5
hexb05f455ba68

12120202001000 has 64 divisors (see below), whose sum is σ = 28399039119360. Its totient is φ = 4841625000000.

The previous prime is 12120202000997. The next prime is 12120202001029. The reversal of 12120202001000 is 10020202121.

It is a happy number.

12120202001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7318376 + ... + 8820375.

It is an arithmetic number, because the mean of its divisors is an integer number (443734986240).

Almost surely, 212120202001000 is an apocalyptic number.

12120202001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120202001000 is an abundant number, since it is smaller than the sum of its proper divisors (16278837118360).

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

12120202001000 is a wasteful number, since it uses less digits than its factorization.

12120202001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139523 (or 16139509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120202001000 its reverse (10020202121), we get a palindrome (12130222203121).

The spelling of 12120202001000 in words is "twelve trillion, one hundred twenty billion, two hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 751 1000 1502 3004 3755 6008 7510 15020 18775 30040 37550 75100 93875 150200 187750 375500 751000 16138751 32277502 64555004 80693755 129110008 161387510 322775020 403468775 645550040 806937550 1613875100 2017343875 3227750200 4034687750 8069375500 12120202001 16138751000 24240404002 48480808004 60601010005 96961616008 121202020010 242404040020 303005050025 484808080040 606010100050 1212020200100 1515025250125 2424040400200 3030050500250 6060101000500 12120202001000