Search a number
-
+
122110110111220 = 225711161934896701
BaseRepresentation
bin11011110000111011111001…
…101111001001010111110100
3121000100121112112020002110221
4123300323321233021113310
5112001123001142024340
61111412335443424124
734502110235166520
oct3360737157112764
9530317475202427
10122110110111220
11359a9674832310
1211841910985044
135319c1ac31aba
1422222375a6d80
15e1b56e22b44a
hex6f0ef9bc95f4

122110110111220 has 96 divisors (see below), whose sum is σ = 319726278902016. Its totient is φ = 38057935872000.

The previous prime is 122110110111193. The next prime is 122110110111239. The reversal of 122110110111220 is 22111011011221.

It is a junction number, because it is equal to n+sod(n) for n = 122110110111194 and 122110110111203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22488870 + ... + 27385570.

It is an arithmetic number, because the mean of its divisors is an integer number (3330482071896).

Almost surely, 2122110110111220 is an apocalyptic number.

122110110111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110110111220 is an abundant number, since it is smaller than the sum of its proper divisors (197616168790796).

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

122110110111220 is a wasteful number, since it uses less digits than its factorization.

122110110111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912921 (or 4912919 counting only the distinct ones).

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

Adding to 122110110111220 its reverse (22111011011221), we get a palindrome (144221121122441).

Subtracting from 122110110111220 its reverse (22111011011221), we obtain a palindrome (99999099099999).

The spelling of 122110110111220 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 16193 32386 64772 80965 113351 161930 178123 226702 323860 356246 453404 566755 712492 890615 1133510 1246861 1781230 2267020 2493722 3562460 4896701 4987444 6234305 9793402 12468610 19586804 24483505 24937220 34276907 48967010 53863711 68553814 97934020 107727422 137107628 171384535 215454844 269318555 342769070 377045977 538637110 685538140 754091954 1077274220 1508183908 1885229885 3770459770 7540919540 79292279293 158584558586 317169117172 396461396465 555045955051 792922792930 872215072223 1110091910102 1585845585860 1744430144446 2220183820204 2775229775255 3488860288892 4361075361115 5550459550510 6105505505561 8722150722230 11100919101020 12211011011122 17444301444460 24422022022244 30527527527805 61055055055610 122110110111220