Search a number
-
+
122220121100 = 225271170122643
BaseRepresentation
bin111000111010011100…
…0110000110000001100
3102200110201201110002212
41301310320300300030
54000301322333400
6132051441205552
711554504613450
oct1616470606014
9380421643085
10122220121100
1147919087a50
121b82b3308b8
13b6aa1422ac
145cb6140660
1532a4d49335
hex1c74e30c0c

122220121100 has 144 divisors (see below), whose sum is σ = 331147305216. Its totient is φ = 38038560000.

The previous prime is 122220121099. The next prime is 122220121117. The reversal of 122220121100 is 1121022221.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 5386379 + ... + 5409021.

It is an arithmetic number, because the mean of its divisors is an integer number (2299634064).

Almost surely, 2122220121100 is an apocalyptic number.

122220121100 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 122220121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165573652608).

122220121100 is an abundant number, since it is smaller than the sum of its proper divisors (208927184116).

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

122220121100 is a wasteful number, since it uses less digits than its factorization.

122220121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23376 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122220121100 its reverse (1121022221), we get a palindrome (123341143321).

The spelling of 122220121100 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 701 770 1100 1402 1540 1925 2804 3505 3850 4907 7010 7700 7711 9814 14020 15422 17525 19628 22643 24535 30844 35050 38555 45286 49070 53977 70100 77110 90572 98140 107954 113215 122675 154220 158501 192775 215908 226430 245350 249073 269885 317002 385550 452860 490700 498146 539770 566075 634004 771100 792505 996292 1079540 1132150 1245365 1349425 1585010 1743511 2264300 2490730 2698850 3170020 3487022 3962525 4981460 5397700 6226825 6974044 7925050 8717555 12453650 15850100 15872743 17435110 24907300 31745486 34870220 43587775 63490972 79363715 87175550 111109201 158727430 174351100 174600173 222218402 317454860 349200346 396818575 444436804 555546005 698400692 793637150 873000865 1111092010 1222201211 1587274300 1746001730 2222184020 2444402422 2777730025 3492003460 4365004325 4888804844 5555460050 6111006055 8730008650 11110920100 12222012110 17460017300 24444024220 30555030275 61110060550 122220121100