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12201022002150 = 23252206913104583
BaseRepresentation
bin1011000110001100010110…
…0101010001001111100110
31121012101222012102212200100
42301203011211101033212
53044400143113032100
641541023325124530
72366331461565432
oct261430545211746
947171865385610
1012201022002150
113984473927383
1214507816b9746
136a6722680757
143027656d79c2
1516259ae70400
hexb18c59513e6

12201022002150 has 72 divisors (see below), whose sum is σ = 32795925055920. Its totient is φ = 3252033069120.

The previous prime is 12201022002119. The next prime is 12201022002151. The reversal of 12201022002150 is 5120022010221.

12201022002150 is a `hidden beast` number, since 1 + 220 + 10 + 220 + 0 + 215 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201022002151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5621242 + ... + 7483341.

It is an arithmetic number, because the mean of its divisors is an integer number (455498959110).

Almost surely, 212201022002150 is an apocalyptic number.

12201022002150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12201022002150 is an abundant number, since it is smaller than the sum of its proper divisors (20594903053770).

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

12201022002150 is a wasteful number, since it uses less digits than its factorization.

12201022002150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106670 (or 13106662 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12201022002150 its reverse (5120022010221), we get a palindrome (17321044012371).

The spelling of 12201022002150 in words is "twelve trillion, two hundred one billion, twenty-two million, two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2069 4138 6207 10345 12414 18621 20690 31035 37242 51725 62070 93105 103450 155175 186210 310350 465525 931050 13104583 26209166 39313749 65522915 78627498 117941247 131045830 196568745 235882494 327614575 393137490 589706235 655229150 982843725 1179412470 1965687450 2948531175 5897062350 27113382227 54226764454 81340146681 135566911135 162680293362 244020440043 271133822270 406700733405 488040880086 677834555675 813401466810 1220102200215 1355669111350 2033503667025 2440204400430 4067007334050 6100511001075 12201022002150