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210120012 = 2232192771109
BaseRepresentation
bin11001000011000…
…10110101001100
3112122101012110200
430201202311030
5412242320022
632503333500
75130663534
oct1441426514
9478335420
10210120012
11a8675303
125a451290
13346bb68b
141dc984c4
15136a7bac
hexc862d4c

210120012 has 72 divisors (see below), whose sum is σ = 561615600. Its totient is φ = 66054528.

The previous prime is 210119989. The next prime is 210120041. The reversal of 210120012 is 210021012.

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 = 210119976 and 210120003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188914 + ... + 190022.

Almost surely, 2210120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280807800).

210120012 is an abundant number, since it is smaller than the sum of its proper divisors (351495588).

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

210120012 is a wasteful number, since it uses less digits than its factorization.

210120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1410 counting only the distinct ones).

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

The square root of 210120012 is about 14495.5169621507. The cubic root of 210120012 is about 594.5054025964.

Adding to 210120012 its reverse (210021012), we get a palindrome (420141024).

The spelling of 210120012 in words is "two hundred ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 277 342 554 684 831 1108 1109 1662 2218 2493 3324 3327 4436 4986 5263 6654 9972 9981 10526 13308 15789 19962 21052 21071 31578 39924 42142 47367 63156 63213 84284 94734 126426 189468 189639 252852 307193 379278 614386 758556 921579 1228772 1843158 2764737 3686316 5529474 5836667 11058948 11673334 17510001 23346668 35020002 52530003 70040004 105060006 210120012