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212100012 = 22331963889
BaseRepresentation
bin11001010010001…
…10001110101100
3112210002210112000
430221012032230
5413244200022
633014012300
75153551245
oct1451061654
9483083460
10212100012
11a97a7973
125b047090
1334c32987
1420251ccc
15139496ac
hexca463ac

212100012 has 24 divisors (see below), whose sum is σ = 549889200. Its totient is φ = 70699968.

The previous prime is 212099981. The next prime is 212100017. The reversal of 212100012 is 210001212.

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 = 212099967 and 212100003.

It is not an unprimeable number, because it can be changed into a prime (212100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981837 + ... + 982052.

It is an arithmetic number, because the mean of its divisors is an integer number (22912050).

Almost surely, 2212100012 is an apocalyptic number.

It is an amenable number.

212100012 is an abundant number, since it is smaller than the sum of its proper divisors (337789188).

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

212100012 is a wasteful number, since it uses less digits than its factorization.

212100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963902 (or 1963894 counting only the distinct ones).

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

The square root of 212100012 is about 14563.6537997853. The cubic root of 212100012 is about 596.3669459311.

Adding to 212100012 its reverse (210001212), we get a palindrome (422101224).

The spelling of 212100012 in words is "two hundred twelve million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1963889 3927778 5891667 7855556 11783334 17675001 23566668 35350002 53025003 70700004 106050006 212100012