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1120032012 = 22311172321701
BaseRepresentation
bin100001011000010…
…0101010100001100
32220001112112002010
41002300211110030
54243212011022
6303050101220
736520054311
oct10260452414
92801475063
101120032012
115252576a0
1227311a810
1314b075848
14a8a74d08
15684e150c
hex42c2550c

1120032012 has 96 divisors (see below), whose sum is σ = 3150088704. Its totient is φ = 305536000.

The previous prime is 1120031977. The next prime is 1120032037. The reversal of 1120032012 is 2102300211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40762 + ... + 62462.

It is an arithmetic number, because the mean of its divisors is an integer number (32813424).

Almost surely, 21120032012 is an apocalyptic number.

1120032012 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 1120032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575044352).

1120032012 is an abundant number, since it is smaller than the sum of its proper divisors (2030056692).

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

1120032012 is a wasteful number, since it uses less digits than its factorization.

1120032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21759 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120032012 is about 33466.8793286736. The cubic root of 1120032012 is about 1038.5087144498.

Adding to 1120032012 its reverse (2102300211), we get a palindrome (3222332223).

The spelling of 1120032012 in words is "one billion, one hundred twenty million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 8602 12903 17204 21701 25806 43402 51612 65103 86804 130206 238711 260412 368917 477422 499123 716133 737834 954844 998246 1106751 1432266 1475668 1497369 1996492 2213502 2864532 2994738 4058087 4427004 5490353 5989476 8116174 8485091 10980706 12174261 16232348 16471059 16970182 21961412 24348522 25455273 32942118 33940364 48697044 50910546 65884236 93336001 101821092 186672002 280008003 373344004 560016006 1120032012