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12202120000 = 2654743579
BaseRepresentation
bin10110101110100110…
…11001001101000000
31011111101102220212101
423113103121031000
5144442220320000
65334445440144
7611244210610
oct132723311500
934441386771
1012202120000
1151a18623a4
122446570054
1311c5cb1a65
1483a7d2a40
154b6397e6a
hex2d74d9340

12202120000 has 140 divisors (see below), whose sum is σ = 34580555680. Its totient is φ = 4183488000.

The previous prime is 12202119997. The next prime is 12202120013. The reversal of 12202120000 is 2120221.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 258211 + ... + 301789.

Almost surely, 212202120000 is an apocalyptic number.

12202120000 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 12202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17290277840).

12202120000 is an abundant number, since it is smaller than the sum of its proper divisors (22378435680).

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

12202120000 is an frugal number, since it uses more digits than its factorization.

12202120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43618 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12202120000 its reverse (2120221), we get a palindrome (12204240221).

The spelling of 12202120000 in words is "twelve billion, two hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 43579 56000 70000 87158 140000 174316 217895 280000 305053 348632 435790 610106 697264 871580 1089475 1220212 1394528 1525265 1743160 2178950 2440424 2789056 3050530 3486320 4357900 4880848 5447375 6101060 6972640 7626325 8715800 9761696 10894750 12202120 13945280 15252650 17431600 19523392 21789500 24404240 27236875 30505300 34863200 38131625 43579000 48808480 54473750 61010600 69726400 76263250 87158000 97616960 108947500 122021200 152526500 174316000 190658125 217895000 244042400 305053000 348632000 381316250 435790000 488084800 610106000 762632500 871580000 1220212000 1525265000 1743160000 2440424000 3050530000 6101060000 12202120000