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3012122112 = 29379103241
BaseRepresentation
bin1011001110001001…
…0101011000000000
321202220211122202020
42303202111120000
522132100401422
61214520121440
7134433421056
oct26342253000
97686748666
103012122112
11130629aa1a
12700906280
13390069c9c
142080801d6
1512968a95c
hexb3895600

3012122112 has 160 divisors (see below), whose sum is σ = 8238996480. Its totient is φ = 977633280.

The previous prime is 3012122083. The next prime is 3012122147. The reversal of 3012122112 is 2112212103.

It is a junction number, because it is equal to n+sod(n) for n = 3012122091 and 3012122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12498312 + ... + 12498552.

It is an arithmetic number, because the mean of its divisors is an integer number (51493728).

Almost surely, 23012122112 is an apocalyptic number.

3012122112 is a gapful number since it is divisible by the number (32) 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 3012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119498240).

3012122112 is an abundant number, since it is smaller than the sum of its proper divisors (5226874368).

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

3012122112 is a wasteful number, since it uses less digits than its factorization.

3012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3012122112 is about 54882.8034269388. The cubic root of 3012122112 is about 1444.1895275871.

Adding to 3012122112 its reverse (2112212103), we get a palindrome (5124334215).

The spelling of 3012122112 in words is "three billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 103 128 158 192 206 237 241 256 309 316 384 412 474 482 512 618 632 723 768 824 948 964 1236 1264 1446 1536 1648 1896 1928 2472 2528 2892 3296 3792 3856 4944 5056 5784 6592 7584 7712 8137 9888 10112 11568 13184 15168 15424 16274 19039 19776 20224 23136 24411 24823 26368 30336 30848 32548 38078 39552 40448 46272 48822 49646 52736 57117 60672 61696 65096 74469 76156 79104 92544 97644 99292 114234 121344 123392 130192 148938 152312 158208 185088 195288 198584 228468 260384 297876 304624 370176 390576 397168 456936 520768 595752 609248 781152 794336 913872 1041536 1191504 1218496 1562304 1588672 1827744 1961017 2083072 2383008 2436992 3124608 3177344 3655488 3922034 4166144 4766016 4873984 5883051 6249216 6354688 7310976 7844068 9532032 9747968 11766102 12498432 12709376 14621952 15688136 19064064 23532204 29243904 31376272 38128128 47064408 62752544 94128816 125505088 188257632 251010176 376515264 502020352 753030528 1004040704 1506061056 3012122112