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120210012 = 223213397647
BaseRepresentation
bin1110010101001…
…00001001011100
322101012022010200
413022210021130
5221233210022
615532303500
72656524336
oct712441134
9271168120
10120210012
116194561a
1234311b90
131bb9b6b0
1411d72456
15a847bac
hex72a425c

120210012 has 72 divisors (see below), whose sum is σ = 328569696. Its totient is φ = 36837504.

The previous prime is 120210011. The next prime is 120210019. The reversal of 120210012 is 210012021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120209976 and 120210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185473 + ... + 186119.

It is an arithmetic number, because the mean of its divisors is an integer number (4563468).

Almost surely, 2120210012 is an apocalyptic number.

120210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164284848).

120210012 is an abundant number, since it is smaller than the sum of its proper divisors (208359684).

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

120210012 is a wasteful number, since it uses less digits than its factorization.

120210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120210012 is about 10964.0326522681. The cubic root of 120210012 is about 493.5299883539.

Adding to 120210012 its reverse (210012021), we get a palindrome (330222033).

The spelling of 120210012 in words is "one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 397 468 647 794 1191 1294 1588 1941 2382 2588 3573 3882 4764 5161 5823 7146 7764 8411 10322 11646 14292 15483 16822 20644 23292 25233 30966 33644 46449 50466 61932 75699 92898 100932 151398 185796 256859 302796 513718 770577 1027436 1541154 2311731 3082308 3339167 4623462 6678334 9246924 10017501 13356668 20035002 30052503 40070004 60105006 120210012