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12203010000 = 243254135589
BaseRepresentation
bin10110101110101101…
…10010011111010000
31011111110010010201100
423113112302133100
5144442432310000
65334520504400
7611254605426
oct132726623720
934443103640
1012203010000
1151a2310035
12244691b100
1311c6233b9c
1483a985116
154b64c1a00
hex2d75b27d0

12203010000 has 150 divisors (see below), whose sum is σ = 42676003370. Its totient is φ = 3254112000.

The previous prime is 12203009957. The next prime is 12203010037. The reversal of 12203010000 is 1030221.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1557723024 + 10645286976 = 39468^2 + 103176^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22206 + ... + 157794.

Almost surely, 212203010000 is an apocalyptic number.

12203010000 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 12203010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338001685).

12203010000 is an abundant number, since it is smaller than the sum of its proper divisors (30472993370).

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

12203010000 is a wasteful number, since it uses less digits than its factorization.

12203010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135623 (or 135599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12203010000 its reverse (1030221), we get a palindrome (12204040221).

The spelling of 12203010000 in words is "twelve billion, two hundred three million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 135589 271178 406767 542356 677945 813534 1084712 1220301 1355890 1627068 2033835 2169424 2440602 2711780 3254136 3389725 4067670 4881204 5423560 6101505 6508272 6779450 8135340 9762408 10169175 10847120 12203010 13558900 16270680 16948625 19524816 20338350 24406020 27117800 30507525 32541360 33897250 40676700 48812040 50845875 54235600 61015050 67794500 81353400 84743125 97624080 101691750 122030100 135589000 152537625 162706800 169486250 203383500 244060200 254229375 271178000 305075250 338972500 406767000 488120400 508458750 610150500 677945000 762688125 813534000 1016917500 1220301000 1355890000 1525376250 2033835000 2440602000 3050752500 4067670000 6101505000 12203010000