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2012112320 = 26523926309
BaseRepresentation
bin111011111101110…
…0110010111000000
312012020010220012112
41313323212113000
513110100043240
6531354314452
7100601446451
oct16773462700
95166126175
102012112320
1194286a849
12481a28a28
13260b2850a
1415132d128
15bb9a6665
hex77ee65c0

2012112320 has 56 divisors (see below), whose sum is σ = 4811572800. Its totient is φ = 801446912.

The previous prime is 2012112301. The next prime is 2012112343. The reversal of 2012112320 is 232112102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012112295 and 2012112304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63326 + ... + 89634.

Almost surely, 22012112320 is an apocalyptic number.

2012112320 is a gapful number since it is divisible by the number (20) 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 2012112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405786400).

2012112320 is an abundant number, since it is smaller than the sum of its proper divisors (2799460480).

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

2012112320 is a wasteful number, since it uses less digits than its factorization.

2012112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565 (or 26555 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2012112320 is about 44856.5749918560. The cubic root of 2012112320 is about 1262.4593604538.

Adding to 2012112320 its reverse (232112102), we get a palindrome (2244224422).

The spelling of 2012112320 in words is "two billion, twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 26309 38240 52618 76480 105236 131545 210472 263090 420944 526180 841888 1052360 1683776 2104720 4209440 6287851 8418880 12575702 25151404 31439255 50302808 62878510 100605616 125757020 201211232 251514040 402422464 503028080 1006056160 2012112320