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12113112012 = 223231091372939
BaseRepresentation
bin10110100011111111…
…10110101111001100
31011021011221211212020
423101333312233030
5144301424041022
65321550010140
7606113516241
oct132177665714
934234854766
1012113112012
115156599381
1224207a6950
1311b0719501
1482ca635c8
154ad66535c
hex2d1ff6bcc

12113112012 has 96 divisors (see below), whose sum is σ = 29990822400. Its totient is φ = 3797494272.

The previous prime is 12113111977. The next prime is 12113112023. The reversal of 12113112012 is 21021131121.

It is a super-3 number, since 3×121131120123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113111982 and 12113112000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120039 + ... + 4122977.

It is an arithmetic number, because the mean of its divisors is an integer number (312404400).

Almost surely, 212113112012 is an apocalyptic number.

12113112012 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 12113112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995411200).

12113112012 is an abundant number, since it is smaller than the sum of its proper divisors (17877710388).

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

12113112012 is a wasteful number, since it uses less digits than its factorization.

12113112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12113112012 its reverse (21021131121), we get a palindrome (33134243133).

The spelling of 12113112012 in words is "twelve billion, one hundred thirteen million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 137 138 218 274 276 327 411 436 548 654 822 1308 1644 2507 2939 3151 5014 5878 6302 7521 8817 9453 10028 11756 12604 14933 15042 17634 18906 29866 30084 35268 37812 44799 59732 67597 89598 135194 179196 202791 270388 320351 343459 402643 405582 640702 686918 805286 811164 961053 1030377 1207929 1281404 1373836 1610572 1922106 2060754 2415858 3844212 4121508 4831716 7368073 9260789 14736146 18521578 22104219 27782367 29472292 37043156 43888087 44208438 55564734 87776174 88416876 111129468 131664261 175552348 263328522 526657044 1009426001 2018852002 3028278003 4037704004 6056556006 12113112012