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1112112012 = 22311103157521
BaseRepresentation
bin100001001001001…
…0111101110001100
32212111122010212210
41002102113232030
54234200041022
6302204230420
736362540034
oct10222275614
92774563783
101112112012
11520838240
1227053b410
1314953195b
14a79b28c4
1567979a0c
hex42497b8c

1112112012 has 96 divisors (see below), whose sum is σ = 2882041344. Its totient is φ = 330969600.

The previous prime is 1112112007. The next prime is 1112112017. The reversal of 1112112012 is 2102112111.

It is an interprime number because it is at equal distance from previous prime (1112112007) and next prime (1112112017).

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

It is not an unprimeable number, because it can be changed into a prime (1112112017) 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, 2134312 + ... + 2134832.

It is an arithmetic number, because the mean of its divisors is an integer number (30021264).

Almost surely, 21112112012 is an apocalyptic number.

1112112012 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 1112112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441020672).

1112112012 is an abundant number, since it is smaller than the sum of its proper divisors (1769929332).

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

1112112012 is a wasteful number, since it uses less digits than its factorization.

1112112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1112112012 is about 33348.3434671049. The cubic root of 1112112012 is about 1036.0550784907.

Adding to 1112112012 its reverse (2102112111), we get a palindrome (3214224123).

Subtracting 1112112012 from its reverse (2102112111), we obtain a palindrome (990000099).

The spelling of 1112112012 in words is "one billion, one hundred twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 157 206 309 314 412 471 521 618 628 942 1042 1133 1236 1563 1727 1884 2084 2266 3126 3399 3454 4532 5181 5731 6252 6798 6908 10362 11462 13596 16171 17193 20724 22924 32342 34386 48513 53663 64684 68772 81797 97026 107326 160989 163594 177881 194052 214652 245391 321978 327188 355762 490782 533643 590293 643956 711524 899767 981564 1067286 1180586 1770879 1799534 2134572 2361172 2699301 3541758 3599068 5398602 7083516 8425091 10797204 16850182 25275273 33700364 50550546 92676001 101101092 185352002 278028003 370704004 556056006 1112112012