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120000001002 = 23789131269911
BaseRepresentation
bin110111111000010001…
…1101011001111101010
3102110202000011122212120
41233300203223033222
53431230000013002
6131043252252110
711445466115220
oct1576043531752
9373660148776
10120000001002
1146989965952
121b30b911036
13b4151b796b
145b45346b10
1531c4ea5cbc
hex1bf08eb3ea

120000001002 has 128 divisors (see below), whose sum is σ = 280831795200. Its totient is φ = 33479846400.

The previous prime is 120000000973. The next prime is 120000001021. The reversal of 120000001002 is 200100000021.

It is a happy number.

120000001002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 131722927 + ... + 131723837.

It is an arithmetic number, because the mean of its divisors is an integer number (2193998400).

Almost surely, 2120000001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140415897600).

120000001002 is an abundant number, since it is smaller than the sum of its proper divisors (160831794198).

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

120000001002 is a wasteful number, since it uses less digits than its factorization.

120000001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412.

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

Adding to 120000001002 its reverse (200100000021), we get a palindrome (320100001023).

The spelling of 120000001002 in words is "one hundred twenty billion, one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 89 131 178 262 267 269 393 534 538 623 786 807 911 917 1246 1614 1822 1834 1869 1883 2733 2751 3738 3766 5466 5502 5649 6377 11298 11659 12754 19131 23318 23941 34977 35239 38262 47882 69954 70478 71823 81079 81613 105717 119341 143646 162158 163226 167587 211434 238682 243237 244839 245059 246673 335174 358023 486474 489678 490118 493346 502761 567553 716046 735177 740019 835387 1005522 1135106 1470354 1480038 1670774 1702659 1715413 2506161 3136271 3405318 3430826 5012322 5146239 6272542 9408813 10292478 10621349 18817626 21242698 21810251 21953897 31864047 32102729 43620502 43907794 63728094 64205458 65430753 65861691 74349443 96308187 130861506 131723382 148698886 152671757 192616374 223048329 224719103 305343514 446096658 449438206 458015271 674157309 916030542 1348314618 2857142881 5714285762 8571428643 17142857286 20000000167 40000000334 60000000501 120000001002