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120100202220112 = 2458838912757313
BaseRepresentation
bin11011010011101100000001…
…111001000000101001010000
3120202020110121120221020000221
4123103230001321000221100
5111220210203232020422
61103233134330122424
734203644654044522
oct3323540171005120
9522213546836027
10120100202220112
11352a4234169274
1211578282880414
135202528ac008a
142192c48ccda12
15dd41364d73c7
hex6d3b01e40a50

120100202220112 has 20 divisors (see below), whose sum is σ = 232694555518260. Its totient is φ = 60049994344448.

The previous prime is 120100202220071. The next prime is 120100202220113. The reversal of 120100202220112 is 211022202001021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59554311516736 + 60545890703376 = 7717144^2 + 7781124^2 .

It is a super-3 number, since 3×1201002022201123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100202220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3035568 + ... + 15792880.

It is an arithmetic number, because the mean of its divisors is an integer number (11634727775913).

Almost surely, 2120100202220112 is an apocalyptic number.

It is an amenable number.

120100202220112 is a deficient number, since it is larger than the sum of its proper divisors (112594353298148).

120100202220112 is a wasteful number, since it uses less digits than its factorization.

120100202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345710 (or 13345704 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120100202220112 its reverse (211022202001021), we get a palindrome (331122404221133).

The spelling of 120100202220112 in words is "one hundred twenty trillion, one hundred billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 588389 1176778 2353556 4707112 9414224 12757313 25514626 51029252 102058504 204117008 7506262638757 15012525277514 30025050555028 60050101110056 120100202220112