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20120202120 = 2335167668351
BaseRepresentation
bin10010101111010000…
…011110101110001000
31220221012201011120010
4102233100132232020
5312201232431440
613124301431520
71311411616254
oct225720365610
956835634503
1020120202120
118595369717
123a9626b5a0
131b88572855
14d8c255264
157cb5b1580
hex4af41eb88

20120202120 has 32 divisors (see below), whose sum is σ = 60360606720. Its totient is φ = 5365387200.

The previous prime is 20120202107. The next prime is 20120202121. The reversal of 20120202120 is 2120202102.

It is a super-3 number, since 3×201202021203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20120202096 and 20120202105.

It is not an unprimeable number, because it can be changed into a prime (20120202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83834056 + ... + 83834295.

It is an arithmetic number, because the mean of its divisors is an integer number (1886268960).

Almost surely, 220120202120 is an apocalyptic number.

20120202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120202120 is an abundant number, since it is smaller than the sum of its proper divisors (40240404600).

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

20120202120 is a wasteful number, since it uses less digits than its factorization.

20120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167668365 (or 167668361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20120202120 its reverse (2120202102), we get a palindrome (22240404222).

The spelling of 20120202120 in words is "twenty billion, one hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167668351 335336702 503005053 670673404 838341755 1006010106 1341346808 1676683510 2012020212 2515025265 3353367020 4024040424 5030050530 6706734040 10060101060 20120202120