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120001000002 = 231347163409491
BaseRepresentation
bin110111111000010011…
…1011111001001000010
3102110202002001102020120
41233300213133021002
53431230224000002
6131043325521110
711445510445602
oct1576047371102
9373662042216
10120001000002
114698a488474
121b310113196
13b4154775a0
145b45526c02
1531c5101cbc
hex1bf09df242

120001000002 has 128 divisors (see below), whose sum is σ = 266773893120. Its totient is φ = 35755292160.

The previous prime is 120000999991. The next prime is 120001000037. The reversal of 120001000002 is 200000100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244400977 + ... + 244401467.

It is an arithmetic number, because the mean of its divisors is an integer number (2084171040).

Almost surely, 2120001000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133386946560).

120001000002 is an abundant number, since it is smaller than the sum of its proper divisors (146772893118).

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

120001000002 is a wasteful number, since it uses less digits than its factorization.

120001000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 120001000002 its reverse (200000100021), we get a palindrome (320001100023).

The spelling of 120001000002 in words is "one hundred twenty billion, one million, two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 47 78 94 141 163 282 326 409 489 491 611 818 978 982 1222 1227 1473 1833 2119 2454 2946 3666 4238 5317 6357 6383 7661 10634 12714 12766 15322 15951 19149 19223 22983 23077 31902 38298 38446 45966 46154 57669 66667 69231 80033 99593 115338 133334 138462 160066 199186 200001 200819 240099 249899 298779 300001 400002 401638 480198 499798 597558 600002 602457 749697 866671 900003 1040429 1204914 1499394 1733342 1800006 2080858 2600013 2610647 3121287 3133349 3761551 5200026 5221294 6242574 6266698 7523102 7831941 9400047 9438493 11284653 15663882 18800094 18876986 22569306 28315479 32733497 40733537 48900163 56630958 65466994 81467074 97800326 98200491 122200611 122700409 146700489 196400982 244401222 245400818 293400978 368101227 425535461 736202454 851070922 1276606383 1538474359 2553212766 3076948718 4615423077 9230846154 20000166667 40000333334 60000500001 120001000002