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120020210120 = 235171731020233
BaseRepresentation
bin110111111000111000…
…0110001000111001000
3102110210102012101120102
41233301300301013020
53431300133210440
6131045253344532
711446132645016
oct1576160610710
9373712171512
10120020210120
114699a3092a8
121b316638148
13b419442315
145b47cc78b6
1531c6b48b15
hex1bf1c311c8

120020210120 has 64 divisors (see below), whose sum is σ = 287583559920. Its totient is φ = 44922855424.

The previous prime is 120020210099. The next prime is 120020210129. The reversal of 120020210120 is 21012020021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85927541956 + 34092668164 = 293134^2 + 184642^2 .

It is not an unprimeable number, because it can be changed into a prime (120020210129) 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, 392477 + ... + 627756.

Almost surely, 2120020210120 is an apocalyptic number.

120020210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020210120 is an abundant number, since it is smaller than the sum of its proper divisors (167563349800).

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

120020210120 is a wasteful number, since it uses less digits than its factorization.

120020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020434 (or 1020430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120020210120 its reverse (21012020021), we get a palindrome (141032230141).

The spelling of 120020210120 in words is "one hundred twenty billion, twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 11764 14705 23528 29410 58820 117640 1020233 2040466 4080932 5101165 8161864 10202330 17343961 20404660 34687922 40809320 69375844 86719805 138751688 173439610 176500309 346879220 353000618 693758440 706001236 882501545 1412002472 1765003090 3000505253 3530006180 6001010506 7060012360 12002021012 15002526265 24004042024 30005052530 60010105060 120020210120