Search a number
-
+
1220011110120 = 233511924250841
BaseRepresentation
bin10001110000001110010…
…101000010111011101000
311022122001200010211110010
4101300032111002323220
5124442040321010440
62332244304051520
7154100004221655
oct21601625027350
94278050124403
101220011110120
11430449514330
12178543303ba0
138b07b38257a
14430980a2c2c
1521b068ed580
hex11c0e542ee8

1220011110120 has 64 divisors (see below), whose sum is σ = 3992763637440. Its totient is φ = 295760268800.

The previous prime is 1220011110103. The next prime is 1220011110127. The reversal of 1220011110120 is 210111100221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220011110096 and 1220011110105.

It is not an unprimeable number, because it can be changed into a prime (1220011110127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462124101 + ... + 462126740.

It is an arithmetic number, because the mean of its divisors is an integer number (62386931835).

Almost surely, 21220011110120 is an apocalyptic number.

1220011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220011110120 is an abundant number, since it is smaller than the sum of its proper divisors (2772752527320).

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

1220011110120 is a wasteful number, since it uses less digits than its factorization.

1220011110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924250866 (or 924250862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1220011110120 its reverse (210111100221), we get a palindrome (1430122210341).

The spelling of 1220011110120 in words is "one trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 924250841 1848501682 2772752523 3697003364 4621254205 5545505046 7394006728 9242508410 10166759251 11091010092 13863762615 18485016820 20333518502 22182020184 27727525230 30500277753 36970033640 40667037004 50833796255 55455050460 61000555506 81334074008 101667592510 110910100920 122001111012 152501388765 203335185020 244002222024 305002777530 406670370040 610005555060 1220011110120