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1121222124 = 22321123257479
BaseRepresentation
bin100001011010100…
…0111110111101100
32220010202222121100
41002311013313230
54244013101444
6303131403100
736533142111
oct10265076754
92803688540
101121222124
1152599a860
122735b3490
1314b3a1459
14a8ca4908
1568678e69
hex42d47dec

1121222124 has 144 divisors (see below), whose sum is σ = 3245598720. Its totient is φ = 323051520.

The previous prime is 1121222117. The next prime is 1121222171. The reversal of 1121222124 is 4212221211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121222097 and 1121222106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340517 + ... + 2340995.

It is an arithmetic number, because the mean of its divisors is an integer number (22538880).

Almost surely, 21121222124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121222124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622799360).

1121222124 is an abundant number, since it is smaller than the sum of its proper divisors (2124376596).

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

1121222124 is a wasteful number, since it uses less digits than its factorization.

1121222124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 775 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1121222124 is about 33484.6550527253. The cubic root of 1121222124 is about 1038.8764135186.

Adding to 1121222124 its reverse (4212221211), we get a palindrome (5333443335).

The spelling of 1121222124 in words is "one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 257 276 396 414 479 506 514 759 771 828 958 1012 1028 1437 1518 1542 1916 2277 2313 2827 2874 3036 3084 4311 4554 4626 5269 5654 5748 5911 8481 8622 9108 9252 10538 11017 11308 11822 15807 16962 17244 17733 21076 22034 23644 25443 31614 33051 33924 35466 44068 47421 50886 53199 63228 65021 66102 70932 94842 99153 101772 106398 121187 123103 130042 132204 189684 195063 198306 212796 242374 246206 260084 363561 369309 390126 396612 484748 492412 585189 727122 738618 780252 1090683 1107927 1170378 1354133 1454244 1477236 2181366 2215854 2340756 2708266 2831369 4062399 4362732 4431708 5416532 5662738 8124798 8494107 11325476 12187197 16249596 16988214 24374394 25482321 31145059 33976428 48748788 50964642 62290118 93435177 101929284 124580236 186870354 280305531 373740708 560611062 1121222124