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12100000 = 2555112
BaseRepresentation
bin101110001010…
…000110100000
3211202202002011
4232022012200
511044200000
61111202304
7204563653
oct56120640
924682064
1012100000
116914a00
124076394
132678683
14186d89a
1510e02ba
hexb8a1a0

12100000 has 108 divisors (see below), whose sum is σ = 32728374. Its totient is φ = 4400000.

The previous prime is 12099991. The next prime is 12100003. The reversal of 12100000 is 121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 12082576 = 132^2 + 3476^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (12100003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1099995 + ... + 1100005.

Almost surely, 212100000 is an apocalyptic number.

12100000 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 12100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364187).

12100000 is an abundant number, since it is smaller than the sum of its proper divisors (20628374).

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

12100000 is an frugal number, since it uses more digits than its factorization.

12100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 12100000 is about 3478.5054261852. The cubic root of 12100000 is about 229.5770424666.

Adding to 12100000 its reverse (121), we get a palindrome (12100121).

12100000 divided by its reverse (121) gives a 5-th power (100000 = 105).

The spelling of 12100000 in words is "twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 625 800 880 968 1000 1100 1210 1250 1375 1760 1936 2000 2200 2420 2500 2750 3025 3125 3872 4000 4400 4840 5000 5500 6050 6250 6875 8800 9680 10000 11000 12100 12500 13750 15125 19360 20000 22000 24200 25000 27500 30250 34375 44000 48400 50000 55000 60500 68750 75625 96800 100000 110000 121000 137500 151250 220000 242000 275000 302500 378125 484000 550000 605000 756250 1100000 1210000 1512500 2420000 3025000 6050000 12100000