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120103421312 = 2771764112301
BaseRepresentation
bin110111111011010111…
…0001100010110000000
3102111000012202221212102
41233312232030112000
53431432433440222
6131101425045532
711451163144160
oct1576656142600
9374005687772
10120103421312
1146a32283086
121b33a4868a8
13b430758204
145b54d885a0
1531ce0d3d92
hex1bf6b8c580

120103421312 has 128 divisors (see below), whose sum is σ = 290010300480. Its totient is φ = 48365568000.

The previous prime is 120103421287. The next prime is 120103421327. The reversal of 120103421312 is 213124301021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9757562 + ... + 9769862.

Almost surely, 2120103421312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120103421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145005150240).

120103421312 is an abundant number, since it is smaller than the sum of its proper divisors (169906879168).

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

120103421312 is a wasteful number, since it uses less digits than its factorization.

120103421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120103421312 its reverse (213124301021), we get a palindrome (333227722333).

The spelling of 120103421312 in words is "one hundred twenty billion, one hundred three million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 641 896 952 1088 1282 1904 2176 2564 3808 4487 5128 7616 8974 10256 10897 12301 15232 17948 20512 21794 24602 35896 41024 43588 49204 71792 76279 82048 86107 87176 98408 143584 152558 172214 174352 196816 209117 287168 305116 344428 348704 393632 418234 574336 610232 688856 697408 787264 836468 1220464 1377712 1394816 1463819 1574528 1672936 2440928 2755424 2927638 3345872 4881856 5510848 5855276 6691744 7884941 9763712 11021696 11710552 13383488 15769882 23421104 26766976 31539764 46842208 55194587 63079528 93684416 110389174 126159056 134043997 187368832 220778348 252318112 268087994 441556696 504636224 536175988 883113392 938307979 1009272448 1072351976 1766226784 1876615958 2144703952 3532453568 3753231916 4289407904 7064907136 7506463832 8578815808 15012927664 17157631616 30025855328 60051710656 120103421312