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12112444200 = 2335229368899
BaseRepresentation
bin10110100011111010…
…10011101100101000
31011021010200220210110
423101331103230220
5144301241203300
65321523414320
7606105035253
oct132175235450
934233626713
1012112444200
11515618266a
1224205243a0
1311b054455c
1482c92c09a
154ad582550
hex2d1f53b28

12112444200 has 96 divisors (see below), whose sum is σ = 37677276000. Its totient is φ = 3218914560.

The previous prime is 12112444193. The next prime is 12112444219. The reversal of 12112444200 is 244421121.

It is a super-2 number, since 2×121124442002 (a number of 21 digits) contains 22 as substring.

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, 141351 + ... + 210249.

It is an arithmetic number, because the mean of its divisors is an integer number (392471625).

Almost surely, 212112444200 is an apocalyptic number.

12112444200 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 12112444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838638000).

12112444200 is an abundant number, since it is smaller than the sum of its proper divisors (25564831800).

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

12112444200 is a wasteful number, since it uses less digits than its factorization.

12112444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69211 (or 69202 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12112444200 its reverse (244421121), we get a palindrome (12356865321).

The spelling of 12112444200 in words is "twelve billion, one hundred twelve million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 293 300 586 600 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 7325 8790 11720 14650 17580 21975 29300 35160 43950 58600 68899 87900 137798 175800 206697 275596 344495 413394 551192 688990 826788 1033485 1377980 1653576 1722475 2066970 2755960 3444950 4133940 5167425 6889900 8267880 10334850 13779800 20187407 20669700 40374814 41339400 60562221 80749628 100937035 121124442 161499256 201874070 242248884 302811105 403748140 484497768 504685175 605622210 807496280 1009370350 1211244420 1514055525 2018740700 2422488840 3028111050 4037481400 6056222100 12112444200