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11220120002120 = 23523263405111447
BaseRepresentation
bin1010001101000110001101…
…0001000101111001001000
31110201122002110021101000112
42203101203101011321020
52432312301210031440
635510241343053452
72235425014264541
oct243214321057110
943648073241015
1011220120002120
113636476262537
12131264b5a1288
1363508bc45a13
142ab0b18594c8
15146cdb1a0965
hexa3463445e48

11220120002120 has 128 divisors (see below), whose sum is σ = 26451891671040. Its totient is φ = 4275163411200.

The previous prime is 11220120002107. The next prime is 11220120002123. The reversal of 11220120002120 is 2120002102211.

It is a junction number, because it is equal to n+sod(n) for n = 11220120002095 and 11220120002104.

It is not an unprimeable number, because it can be changed into a prime (11220120002123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980174237 + ... + 980185683.

It is an arithmetic number, because the mean of its divisors is an integer number (206655403680).

Almost surely, 211220120002120 is an apocalyptic number.

11220120002120 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 11220120002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225945835520).

11220120002120 is an abundant number, since it is smaller than the sum of its proper divisors (15231771668920).

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

11220120002120 is a wasteful number, since it uses less digits than its factorization.

11220120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15791 counting only the distinct ones).

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

Adding to 11220120002120 its reverse (2120002102211), we get a palindrome (13340122104331).

The spelling of 11220120002120 in words is "eleven trillion, two hundred twenty billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 263 460 526 920 1052 1315 2104 2630 4051 5260 6049 8102 10520 11447 12098 16204 20255 22894 24196 30245 32408 40510 45788 48392 57235 60490 81020 91576 93173 114470 120980 162040 186346 228940 241960 263281 372692 457880 465865 526562 745384 931730 1053124 1065413 1316405 1863460 2106248 2130826 2632810 3010561 3726920 4261652 5265620 5327065 6021122 8523304 10531240 10654130 12042244 15052805 21308260 24084488 24504499 30105610 42616520 46371797 49008998 60211220 69242903 92743594 98017996 120422440 122522495 138485806 185487188 196035992 231858985 245044990 276971612 346214515 370974376 463717970 490089980 553943224 692429030 927435940 980179960 1066551331 1384858060 1854871880 2133102662 2769716120 4266205324 5332756655 8532410648 10665513310 12195782611 21331026620 24391565222 42662053240 48783130444 60978913055 97566260888 121957826110 243915652220 280503000053 487831304440 561006000106 1122012000212 1402515000265 2244024000424 2805030000530 5610060001060 11220120002120