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202212000120 = 233513129623077
BaseRepresentation
bin1011110001010011000…
…1100100000101111000
3201022221111112221012210
42330110301210011320
511303112233000440
6232521144535120
720416000432644
oct2742461440570
9638844487183
10202212000120
1178837447679
12332344814a0
13160b76928a0
149b03ba3c24
1553d7761a80
hex2f14c64178

202212000120 has 64 divisors (see below), whose sum is σ = 653300313120. Its totient is φ = 49775261184.

The previous prime is 202212000119. The next prime is 202212000167. The reversal of 202212000120 is 21000212202.

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 = 202212000096 and 202212000105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64809979 + ... + 64813098.

Almost surely, 2202212000120 is an apocalyptic number.

202212000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212000120 is an abundant number, since it is smaller than the sum of its proper divisors (451088313000).

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

202212000120 is a wasteful number, since it uses less digits than its factorization.

202212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129623104 (or 129623100 counting only the distinct ones).

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

Adding to 202212000120 its reverse (21000212202), we get a palindrome (223212212322).

The spelling of 202212000120 in words is "two hundred two billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 129623077 259246154 388869231 518492308 648115385 777738462 1036984616 1296230770 1555476924 1685100001 1944346155 2592461540 3110953848 3370200002 3888692310 5055300003 5184923080 6740400004 7777384620 8425500005 10110600006 13480800008 15554769240 16851000010 20221200012 25276500015 33702000020 40442400024 50553000030 67404000040 101106000060 202212000120