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1122012144 = 2432111514691
BaseRepresentation
bin100001011100000…
…1000101111110000
32220012021010022100
41002320020233300
54244213342034
6303200340400
736542642301
oct10270105760
92805233270
101122012144
1152638a370
12273914700
1314b5b9c16
14a902c7a8
1568783099
hex42e08bf0

1122012144 has 120 divisors (see below), whose sum is σ = 3448957824. Its totient is φ = 337680000.

The previous prime is 1122012137. The next prime is 1122012163. The reversal of 1122012144 is 4412102211.

It is a super-2 number, since 2×11220121442 = 2517822502566953472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236839 + ... + 241529.

Almost surely, 21122012144 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 1122012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724478912).

1122012144 is an abundant number, since it is smaller than the sum of its proper divisors (2326945680).

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

1122012144 is a wasteful number, since it uses less digits than its factorization.

1122012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4858 counting only the distinct ones).

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

The square root of 1122012144 is about 33496.4497223213. The cubic root of 1122012144 is about 1039.1203558019.

Adding to 1122012144 its reverse (4412102211), we get a palindrome (5534114355).

The spelling of 1122012144 in words is "one billion, one hundred twenty-two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 151 176 198 264 302 396 453 528 604 792 906 1208 1359 1584 1661 1812 2416 2718 3322 3624 4691 4983 5436 6644 7248 9382 9966 10872 13288 14073 14949 18764 19932 21744 26576 28146 29898 37528 39864 42219 51601 56292 59796 75056 79728 84438 103202 112584 119592 154803 168876 206404 225168 239184 309606 337752 412808 464409 619212 675504 708341 825616 928818 1238424 1416682 1857636 2125023 2476848 2833364 3715272 4250046 5666728 6375069 7430544 7791751 8500092 11333456 12750138 15583502 17000184 23375253 25500276 31167004 34000368 46750506 51000552 62334008 70125759 93501012 102001104 124668016 140251518 187002024 280503036 374004048 561006072 1122012144