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120122102112200 = 23521735330030033
BaseRepresentation
bin11011010100000000011011…
…001110011101111111001000
3120202022120010211110000021022
4123110000123032131333020
5111221040031120042300
61103251155404532012
734205351446051436
oct3324003316357710
9522276124400238
10120122102112200
113530255207a341
1211580574b51008
135204608c913c6
142193d25651d56
15dd49b8e3e285
hex6d401b39dfc8

120122102112200 has 48 divisors (see below), whose sum is σ = 295712351384580. Its totient is φ = 45222438440960.

The previous prime is 120122102112197. The next prime is 120122102112223. The reversal of 120122102112200 is 2211201221021.

It can be written as a sum of positive squares in 6 ways, for example, as 54354316561444 + 65767785550756 = 7372538^2 + 8109734^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17665011617 + ... + 17665018416.

Almost surely, 2120122102112200 is an apocalyptic number.

120122102112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122102112200 is an abundant number, since it is smaller than the sum of its proper divisors (175590249272380).

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

120122102112200 is a wasteful number, since it uses less digits than its factorization.

120122102112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35330030066 (or 35330030057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120122102112200 its reverse (2211201221021), we get a palindrome (122333303333221).

The spelling of 120122102112200 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 35330030033 70660060066 141320120132 176650150165 282640240264 353300300330 600610510561 706600600660 883250750825 1201221021122 1413201201320 1766501501650 2402442042244 3003052552805 3533003003300 4804884084488 6006105105610 7066006006600 12012210211220 15015262764025 24024420422440 30030525528050 60061051056100 120122102112200