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212400012 = 223112197699
BaseRepresentation
bin11001010100011…
…11011110001100
3112210200001001010
430222033132030
5413333300022
633024245220
75156241006
oct1452173614
9483601033
10212400012
11a9992300
125b170810
13350093a6
14202cd376
15139a850c
hexca8f78c

212400012 has 72 divisors (see below), whose sum is σ = 573496000. Its totient is φ = 60968160.

The previous prime is 212399981. The next prime is 212400037. The reversal of 212400012 is 210004212.

It is a super-2 number, since 2×2124000122 = 90227530195200288, which contains 22 as substring.

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

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, 23739 + ... + 31437.

Almost surely, 2212400012 is an apocalyptic number.

212400012 is a gapful number since it is divisible by the number (22) 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 212400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286748000).

212400012 is an abundant number, since it is smaller than the sum of its proper divisors (361095988).

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

212400012 is a wasteful number, since it uses less digits than its factorization.

212400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7734 counting only the distinct ones).

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

The square root of 212400012 is about 14573.9497734828. The cubic root of 212400012 is about 596.6479859879.

Adding to 212400012 its reverse (210004212), we get a palindrome (422404224).

The spelling of 212400012 in words is "two hundred twelve million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1452 2299 2508 4598 6897 7699 9196 13794 15398 23097 27588 30796 46194 84689 92388 146281 169378 254067 292562 338756 438843 508134 585124 877686 931579 1016268 1609091 1755372 1863158 2794737 3218182 3726316 4827273 5589474 6436364 9654546 11178948 17700001 19309092 35400002 53100003 70800004 106200006 212400012