Search a number
-
+
11220122000120 = 2351147953236487
BaseRepresentation
bin1010001101000110001101…
…1000101101101011111000
31110201122002121000212202112
42203101203120231223320
52432312302213000440
635510241453551452
72235425040255605
oct243214330555370
943648077025675
1011220122000120
1136364773a7680
1213126501a5588
1363508c495277
142ab0b1c196ac
15146cdb447965
hexa346362daf8

11220122000120 has 64 divisors (see below), whose sum is σ = 27597795379200. Its totient is φ = 4071526449280.

The previous prime is 11220122000111. The next prime is 11220122000137. The reversal of 11220122000120 is 2100022102211.

11220122000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112201220001202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220122000095 and 11220122000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26407484 + ... + 26829003.

It is an arithmetic number, because the mean of its divisors is an integer number (431215552800).

Almost surely, 211220122000120 is an apocalyptic number.

11220122000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122000120 is an abundant number, since it is smaller than the sum of its proper divisors (16377673379080).

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

11220122000120 is a wasteful number, since it uses less digits than its factorization.

11220122000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53236988 (or 53236984 counting only the distinct ones).

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

Adding to 11220122000120 its reverse (2100022102211), we get a palindrome (13320144102331).

The spelling of 11220122000120 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479 958 1916 2395 3832 4790 5269 9580 10538 19160 21076 26345 42152 52690 105380 210760 53236487 106472974 212945948 266182435 425891896 532364870 585601357 1064729740 1171202714 2129459480 2342405428 2928006785 4684810856 5856013570 11712027140 23424054280 25500277273 51000554546 102001109092 127501386365 204002218184 255002772730 280503050003 510005545460 561006100006 1020011090920 1122012200012 1402515250015 2244024400024 2805030500030 5610061000060 11220122000120