Search a number
-
+
12002210000 = 245411109111
BaseRepresentation
bin10110010110110001…
…10011000011010000
31010222110021102220022
423023120303003100
5144040031210000
65302545003012
7603266046614
oct131330630320
933873242808
1012002210000
1150a9a31020
1223ab623468
131193759711
1481c035344
154a3a5a585
hex2cb6330d0

12002210000 has 100 divisors (see below), whose sum is σ = 31700527584. Its totient is φ = 4364400000.

The previous prime is 12002209993. The next prime is 12002210027. The reversal of 12002210000 is 1220021.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12002210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55445 + ... + 164555.

Almost surely, 212002210000 is an apocalyptic number.

12002210000 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 12002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850263792).

12002210000 is an abundant number, since it is smaller than the sum of its proper divisors (19698317584).

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

12002210000 is a wasteful number, since it uses less digits than its factorization.

12002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109150 (or 109129 counting only the distinct ones).

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

Adding to 12002210000 its reverse (1220021), we get a palindrome (12003430021).

The spelling of 12002210000 in words is "twelve billion, two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 109111 110000 218222 436444 545555 872888 1091110 1200221 1745776 2182220 2400442 2727775 4364440 4800884 5455550 6001105 8728880 9601768 10911100 12002210 13638875 19203536 21822200 24004420 27277750 30005525 43644400 48008840 54555500 60011050 68194375 96017680 109111000 120022100 136388750 150027625 218222000 240044200 272777500 300055250 480088400 545555000 600110500 750138125 1091110000 1200221000 1500276250 2400442000 3000552500 6001105000 12002210000