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120141312 = 2931743107
BaseRepresentation
bin1110010100100…
…11011000000000
322101001210220020
413022103120000
5221224010222
615531013440
72656120134
oct712233000
9271053806
10120141312
11618a8a45
123429a280
131bb76345
1411d553c4
15a83265c
hex7293600

120141312 has 160 divisors (see below), whose sum is σ = 350013312. Its totient is φ = 36470784.

The previous prime is 120141311. The next prime is 120141319. The reversal of 120141312 is 213141021.

It is a junction number, because it is equal to n+sod(n) for n = 120141291 and 120141300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120141311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122763 + ... + 1122869.

Almost surely, 2120141312 is an apocalyptic number.

120141312 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 120141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175006656).

120141312 is an abundant number, since it is smaller than the sum of its proper divisors (229872000).

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

120141312 is a wasteful number, since it uses less digits than its factorization.

120141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

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

The square root of 120141312 is about 10960.8992331834. The cubic root of 120141312 is about 493.4359530050.

Adding to 120141312 its reverse (213141021), we get a palindrome (333282333).

The spelling of 120141312 in words is "one hundred twenty million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 107 128 129 136 172 192 204 214 256 258 272 321 344 384 408 428 512 516 544 642 688 731 768 816 856 1032 1088 1284 1376 1462 1536 1632 1712 1819 2064 2176 2193 2568 2752 2924 3264 3424 3638 4128 4352 4386 4601 5136 5457 5504 5848 6528 6848 7276 8256 8704 8772 9202 10272 10914 11008 11696 13056 13696 13803 14552 16512 17544 18404 20544 21828 22016 23392 26112 27392 27606 29104 33024 35088 36808 41088 43656 46784 54784 55212 58208 66048 70176 73616 78217 82176 87312 93568 110424 116416 140352 147232 156434 164352 174624 187136 220848 232832 234651 280704 294464 312868 349248 374272 441696 465664 469302 561408 588928 625736 698496 883392 931328 938604 1122816 1177856 1251472 1396992 1766784 1877208 2355712 2502944 2793984 3533568 3754416 5005888 7067136 7508832 10011776 15017664 20023552 30035328 40047104 60070656 120141312