Search a number
-
+
12022372622550 = 2352415873330251
BaseRepresentation
bin1010111011110010110100…
…1111111110000011010110
31120120022211211010002022110
42232330231033332003112
53033433304342410200
641323000213011450
72350405413116223
oct256745517760326
946508754102273
1012022372622550
113915728a17304
121422024323b86
136929217b8a94
142d7c5903894a
1515cae2105b50
hexaef2d3fe0d6

12022372622550 has 96 divisors (see below), whose sum is σ = 30594732061824. Its totient is φ = 3122442400000.

The previous prime is 12022372622521. The next prime is 12022372622567. The reversal of 12022372622550 is 5522627322021.

It is a junction number, because it is equal to n+sod(n) for n = 12022372622499 and 12022372622508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944925 + ... + 5275175.

It is an arithmetic number, because the mean of its divisors is an integer number (318695125644).

Almost surely, 212022372622550 is an apocalyptic number.

12022372622550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022372622550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297366030912).

12022372622550 is an abundant number, since it is smaller than the sum of its proper divisors (18572359439274).

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

12022372622550 is a wasteful number, since it uses less digits than its factorization.

12022372622550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330894 (or 3330889 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 12022372622550 its reverse (5522627322021), we get a palindrome (17544999944571).

The spelling of 12022372622550 in words is "twelve trillion, twenty-two billion, three hundred seventy-two million, six hundred twenty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 587 615 1025 1174 1230 1761 2050 2935 3075 3522 5870 6150 8805 14675 17610 24067 29350 44025 48134 72201 88050 120335 144402 240670 361005 601675 722010 1203350 1805025 3330251 3610050 6660502 9990753 16651255 19981506 33302510 49953765 83256275 99907530 136540291 166512550 249768825 273080582 409620873 499537650 682701455 819241746 1365402910 1954857337 2048104365 3413507275 3909714674 4096208730 5864572011 6827014550 9774286685 10240521825 11729144022 19548573370 20481043650 29322860055 48871433425 58645720110 80149150817 97742866850 146614300275 160298301634 240447452451 293228600550 400745754085 480894904902 801491508170 1202237262255 2003728770425 2404474524510 4007457540850 6011186311275 12022372622550