Search a number
-
+
120434330141220 = 223517093117430459
BaseRepresentation
bin11011011000100011001101…
…011101111000001000100100
3120210102102001112120021101010
4123120203031131320020210
5111241144002004004340
61104050433435102220
734240043654364354
oct3330431535701044
9523372045507333
10120434330141220
1135412a04714847
1211610b915a1970
135227ba7273934
1421a50a47acb64
15ddcb8edb2b80
hex6d88cd778224

120434330141220 has 48 divisors (see below), whose sum is σ = 337235855584320. Its totient is φ = 32113942210176.

The previous prime is 120434330141201. The next prime is 120434330141221. The reversal of 120434330141220 is 22141033434021.

It is a super-3 number, since 3×1204343301412203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120434330141221) 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, 57689650 + ... + 59740809.

It is an arithmetic number, because the mean of its divisors is an integer number (7025746991340).

Almost surely, 2120434330141220 is an apocalyptic number.

120434330141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120434330141220 is an abundant number, since it is smaller than the sum of its proper divisors (216801525443100).

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

120434330141220 is a wasteful number, since it uses less digits than its factorization.

120434330141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117447564 (or 117447562 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 120434330141220 its reverse (22141033434021), we get a palindrome (142575363575241).

The spelling of 120434330141220 in words is "one hundred twenty trillion, four hundred thirty-four billion, three hundred thirty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 17093 34186 51279 68372 85465 102558 170930 205116 256395 341860 512790 1025580 117430459 234860918 352291377 469721836 587152295 704582754 1174304590 1409165508 1761456885 2348609180 3522913770 7045827540 2007238835687 4014477671374 6021716507061 8028955342748 10036194178435 12043433014122 20072388356870 24086866028244 30108582535305 40144776713740 60217165070610 120434330141220