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12210000 = 243541137
BaseRepresentation
bin101110100100…
…111101010000
3211222022222020
4232210331100
511111210000
61113411440
7205532445
oct56447520
924868866
1012210000
11698a610
124109b80
1326b676a
14189b9cc
151112ba0
hexba4f50

12210000 has 200 divisors, whose sum is σ = 44160864. Its totient is φ = 2880000.

The previous prime is 12209993. The next prime is 12210007. The reversal of 12210000 is 1221.

It is a happy number.

12210000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12209993) and next prime (12210007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329982 + ... + 330018.

Almost surely, 212210000 is an apocalyptic number.

12210000 is a gapful number since it is divisible by the number (10) 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 12210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080432).

12210000 is an abundant number, since it is smaller than the sum of its proper divisors (31950864).

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

12210000 is a wasteful number, since it uses less digits than its factorization.

12210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12210000 is about 3494.2810419312. The cubic root of 12210000 is about 230.2706329117.

Adding to 12210000 its reverse (1221), we get a palindrome (12211221).

Multiplying 12210000 by its reverse (1221), we get a square (14908410000 = 1221002).

12210000 divided by its reverse (1221) gives a 4-th power (10000 = 104).

It can be divided in two parts, 12 and 210000, that added together give a palindrome (210012).

The spelling of 12210000 in words is "twelve million, two hundred ten thousand".