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120135162432 = 2632924418839
BaseRepresentation
bin110111111100010011…
…1010001101001000000
3102111002102111120111110
41233320213101221000
53432014100144212
6131104521243320
711452030013655
oct1577047215100
9374072446443
10120135162432
1146a4919270a
121b349033540
13b4371bc83c
145b5928bc2c
1531d1ca3a3c
hex1bf89d1a40

120135162432 has 112 divisors (see below), whose sum is σ = 328990147200. Its totient is φ = 38643978240.

The previous prime is 120135162409. The next prime is 120135162439. The reversal of 120135162432 is 234261531021.

It is a self number, because there is not a number n which added to its sum of digits gives 120135162432.

It is not an unprimeable number, because it can be changed into a prime (120135162439) 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, 13587069 + ... + 13595907.

Almost surely, 2120135162432 is an apocalyptic number.

120135162432 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 120135162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164495073600).

120135162432 is an abundant number, since it is smaller than the sum of its proper divisors (208854984768).

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

120135162432 is a wasteful number, since it uses less digits than its factorization.

120135162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 120135162432 its reverse (234261531021), we get a palindrome (354396693453).

The spelling of 120135162432 in words is "one hundred twenty billion, one hundred thirty-five million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2441 2784 4882 5568 7323 8839 9764 14646 17678 19528 26517 29292 35356 39056 53034 58584 70712 70789 78112 106068 117168 141424 141578 156224 212136 212367 234336 256331 282848 283156 424272 424734 468672 512662 565696 566312 768993 848544 849468 1025324 1132624 1537986 1697088 1698936 2050648 2265248 3075972 3397872 4101296 4530496 6151944 6795744 8202592 12303888 13591488 16405184 21575999 24607776 43151998 49215552 64727997 86303996 129455994 172607992 258911988 345215984 517823976 625703971 690431968 1035647952 1251407942 1380863936 1877111913 2071295904 2502815884 3754223826 4142591808 5005631768 7508447652 10011263536 15016895304 20022527072 30033790608 40045054144 60067581216 120135162432