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120022000120 = 23511535146741
BaseRepresentation
bin110111111000111011…
…1100110000111111000
3102110210112120022222201
41233301313212013320
53431301113000440
6131045355555544
711446154111461
oct1576167460770
9373715508881
10120022000120
11469a0321140
121b31715bbb4
13b41991aca9
145b48231d68
1531c6d9e19a
hex1bf1de61f8

120022000120 has 64 divisors (see below), whose sum is σ = 300157993440. Its totient is φ = 42820876800.

The previous prime is 120022000099. The next prime is 120022000123. The reversal of 120022000120 is 21000220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120022000097 and 120022000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550051 + ... + 2596690.

Almost surely, 2120022000120 is an apocalyptic number.

120022000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022000120 is an abundant number, since it is smaller than the sum of its proper divisors (180135993320).

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

120022000120 is a wasteful number, since it uses less digits than its factorization.

120022000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146816 (or 5146812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120022000120 its reverse (21000220021), we get a palindrome (141022220141).

It can be divided in two parts, 1200220001 and 20, that added together give a palindrome (1200220021).

The spelling of 120022000120 in words is "one hundred twenty billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 5146741 10293482 20586964 25733705 41173928 51467410 56614151 102934820 113228302 205869640 226456604 272777273 283070755 452913208 545554546 566141510 1091109092 1132283020 1363886365 2182218184 2264566040 2727772730 3000550003 5455545460 6001100006 10911090920 12002200012 15002750015 24004400024 30005500030 60011000060 120022000120