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1124414221220 = 225296131781069
BaseRepresentation
bin10000010111001100010…
…011110110101110100100
310222111022100201201010022
4100113030103312232210
5121410300020034340
62220314311014312
7144144014120033
oct20271423665644
93874270651108
101124414221220
113a3952572824
12161b0406a398
1382054b54c14
143c5c9b2a71a
151e3ae0143b5
hex105cc4f6ba4

1124414221220 has 48 divisors (see below), whose sum is σ = 2482737188400. Its totient is φ = 427137553920.

The previous prime is 1124414221213. The next prime is 1124414221241. The reversal of 1124414221220 is 221224144211.

It can be written as a sum of positive squares in 8 ways, for example, as 61255260004 + 1063158961216 = 247498^2 + 1031096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1124414221220.

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, 15855155 + ... + 15925914.

It is an arithmetic number, because the mean of its divisors is an integer number (51723691425).

Almost surely, 21124414221220 is an apocalyptic number.

1124414221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124414221220 is an abundant number, since it is smaller than the sum of its proper divisors (1358322967180).

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

1124414221220 is a wasteful number, since it uses less digits than its factorization.

1124414221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31781168 (or 31781166 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 1124414221220 its reverse (221224144211), we get a palindrome (1345638365431).

The spelling of 1124414221220 in words is "one trillion, one hundred twenty-four billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 7076 8845 17690 35380 31781069 63562138 127124276 158905345 317810690 635621380 921651001 1843302002 1938645209 3686604004 3877290418 4608255005 7754580836 9216510010 9693226045 18433020020 19386452090 38772904180 56220711061 112441422122 224882844244 281103555305 562207110610 1124414221220