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120132001200 = 24352293452069
BaseRepresentation
bin110111111100001101…
…1001101110110110000
3102111002012112222002210
41233320123031312300
53432012243014300
6131104325412120
711451661106361
oct1577033156660
9374065488083
10120132001200
1146a47423622
121b347b6a040
13b4366539a3
145b58aa7b68
1531d187c050
hex1bf86cddb0

120132001200 has 120 divisors (see below), whose sum is σ = 398092712400. Its totient is φ = 30930529280.

The previous prime is 120132001153. The next prime is 120132001237. The reversal of 120132001200 is 2100231021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1691235 + ... + 1760834.

It is an arithmetic number, because the mean of its divisors is an integer number (3317439270).

Almost surely, 2120132001200 is an apocalyptic number.

120132001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132001200 is an abundant number, since it is smaller than the sum of its proper divisors (277960711200).

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

120132001200 is a wasteful number, since it uses less digits than its factorization.

120132001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452119 (or 3452108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120132001200 its reverse (2100231021), we get a palindrome (122232232221).

The spelling of 120132001200 in words is "one hundred twenty billion, one hundred thirty-two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 3452069 6904138 10356207 13808276 17260345 20712414 27616552 34520690 41424828 51781035 55233104 69041380 82849656 86301725 100110001 103562070 138082760 165699312 172603450 200220002 207124140 258905175 276165520 300330003 345206900 400440004 414248280 500550005 517810350 600660006 690413800 800880008 828496560 1001100010 1035620700 1201320012 1380827600 1501650015 1601760016 2002200020 2071241400 2402640024 2502750025 3003300030 4004400040 4142482800 4805280048 5005500050 6006600060 7508250075 8008800080 10011000100 12013200120 15016500150 20022000200 24026400240 30033000300 40044000400 60066000600 120132001200