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1122122121012 = 223340964139631
BaseRepresentation
bin10000010101000011101…
…100001011111100110100
310222021101121201221202000
4100111003230023330310
5121341101230333022
62215255031215300
7144033142440114
oct20250354137464
93867347657660
101122122121012
113a2986757a32
12161584517530
1381a7b0176c9
143c44d557044
151e2c7ba36ac
hex10543b0bf34

1122122121012 has 96 divisors (see below), whose sum is σ = 2920941811200. Its totient is φ = 372534681600.

The previous prime is 1122122121007. The next prime is 1122122121017. The reversal of 1122122121012 is 2101212212211.

1122122121012 is a `hidden beast` number, since 1 + 1 + 221 + 221 + 210 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1122122121007) and next prime (1122122121017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122122121017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28294437 + ... + 28334067.

It is an arithmetic number, because the mean of its divisors is an integer number (30426477200).

Almost surely, 21122122121012 is an apocalyptic number.

1122122121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122122121012 is an abundant number, since it is smaller than the sum of its proper divisors (1798819690188).

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

1122122121012 is a wasteful number, since it uses less digits than its factorization.

1122122121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40694 (or 40686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122122121012 its reverse (2101212212211), we get a palindrome (3223334333223).

The spelling of 1122122121012 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 409 641 818 1227 1282 1636 1923 2454 2564 3681 3846 4908 5769 7362 7692 11043 11538 14724 17307 22086 23076 34614 39631 44172 69228 79262 118893 158524 237786 262169 356679 475572 524338 713358 786507 1048676 1070037 1426716 1573014 2140074 2359521 3146028 4280148 4719042 7078563 9438084 14157126 16209079 25403471 28314252 32418158 48627237 50806942 64836316 76210413 97254474 101613884 145881711 152420826 194508948 228631239 291763422 304841652 437645133 457262478 583526844 685893717 875290266 914524956 1371787434 1750580532 2743574868 10390019639 20780039278 31170058917 41560078556 62340117834 93510176751 124680235668 187020353502 280530530253 374040707004 561061060506 1122122121012