Search a number
-
+
12122002222000 = 245311551000101
BaseRepresentation
bin1011000001100101111110…
…1000101110101110110000
31120220212000011210010112021
42300121133220232232300
53042101330032101000
641440434305041224
72360533341542566
oct260313750565660
946825004703467
1012122002222000
113953a04263a50
1214393aa026214
1369c13b64b7a8
142dc9cabdba36
151604c3a7711a
hexb065fa2ebb0

12122002222000 has 80 divisors (see below), whose sum is σ = 31975637919264. Its totient is φ = 4408000800000.

The previous prime is 12122002221949. The next prime is 12122002222013. The reversal of 12122002222000 is 22220022121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 275478051 + ... + 275522050.

Almost surely, 212122002222000 is an apocalyptic number.

12122002222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122002222000 is an abundant number, since it is smaller than the sum of its proper divisors (19853635697264).

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

12122002222000 is a wasteful number, since it uses less digits than its factorization.

12122002222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551000135 (or 551000119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12122002222000 its reverse (22220022121), we get a palindrome (12144222244121).

The spelling of 12122002222000 in words is "twelve trillion, one hundred twenty-two billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 551000101 1102000202 2204000404 2755000505 4408000808 5510001010 6061001111 8816001616 11020002020 12122002222 13775002525 22040004040 24244004444 27550005050 30305005555 44080008080 48488008888 55100010100 60610011110 68875012625 96976017776 110200020200 121220022220 137750025250 151525027775 220400040400 242440044440 275500050500 303050055550 484880088880 551000101000 606100111100 757625138875 1102000202000 1212200222200 1515250277750 2424400444400 3030500555500 6061001111000 12122002222000