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1121216712 = 233711739821
BaseRepresentation
bin100001011010100…
…0110100011001000
32220010202201011220
41002311012203020
54244012413322
6303131322040
736533120250
oct10265064310
92803681156
101121216712
11525996790
122735b0320
1314b39bb55
14a8ca2960
156867755c
hex42d468c8

1121216712 has 128 divisors (see below), whose sum is σ = 3503692800. Its totient is φ = 290476800.

The previous prime is 1121216689. The next prime is 1121216713. The reversal of 1121216712 is 2176121211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (1121216713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365262 + ... + 1366082.

It is an arithmetic number, because the mean of its divisors is an integer number (27372600).

Almost surely, 21121216712 is an apocalyptic number.

1121216712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121216712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751846400).

1121216712 is an abundant number, since it is smaller than the sum of its proper divisors (2382476088).

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

1121216712 is a wasteful number, since it uses less digits than its factorization.

1121216712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1583 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 1121216712 is about 33484.5742394912. The cubic root of 1121216712 is about 1038.8747420067.

Adding to 1121216712 its reverse (2176121211), we get a palindrome (3297337923).

The spelling of 1121216712 in words is "one billion, one hundred twenty-one million, two hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 739 821 924 1478 1642 1848 2217 2463 2956 3284 4434 4926 5173 5747 5912 6568 8129 8868 9031 9852 10346 11494 15519 16258 17241 17736 18062 19704 20692 22988 24387 27093 31038 32516 34482 36124 41384 45976 48774 54186 56903 62076 63217 65032 68964 72248 97548 108372 113806 124152 126434 137928 170709 189651 195096 216744 227612 252868 341418 379302 455224 505736 606719 682836 758604 1213438 1365672 1517208 1820157 2426876 3640314 4247033 4853752 6673909 7280628 8494066 12741099 13347818 14561256 16988132 20021727 25482198 26695636 33976264 40043454 46717363 50964396 53391272 80086908 93434726 101928792 140152089 160173816 186869452 280304178 373738904 560608356 1121216712