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1200210020200 = 235212765517213
BaseRepresentation
bin10001011101110010000…
…101111000011101101000
311020201221200220020112101
4101131302011320131220
5124131012231121300
62315211402023144
7152466215562562
oct21356205703550
94221850806471
101200210020200
114230082a3404
12174737aa7ab4
1389243c6cb09
144213a398332
1521348373b6a
hex11772178768

1200210020200 has 96 divisors (see below), whose sum is σ = 2813279938560. Its totient is φ = 476165088000.

The previous prime is 1200210020171. The next prime is 1200210020201. The reversal of 1200210020200 is 20200120021.

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

It is not an unprimeable number, because it can be changed into a prime (1200210020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166391794 + ... + 166399006.

It is an arithmetic number, because the mean of its divisors is an integer number (29304999360).

Almost surely, 21200210020200 is an apocalyptic number.

1200210020200 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 1200210020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406639969280).

1200210020200 is an abundant number, since it is smaller than the sum of its proper divisors (1613069918360).

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

1200210020200 is a wasteful number, since it uses less digits than its factorization.

1200210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13907 (or 13898 counting only the distinct ones).

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

Adding to 1200210020200 its reverse (20200120021), we get a palindrome (1220410140221).

The spelling of 1200210020200 in words is "one trillion, two hundred billion, two hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 6551 7213 12700 13102 14426 25400 26204 28852 32755 36065 52408 57704 65510 72130 131020 144260 163775 180325 262040 288520 327550 360650 655100 721300 831977 916051 1310200 1442600 1663954 1832102 3327908 3664204 4159885 4580255 6655816 7328408 8319770 9160510 16639540 18321020 20799425 22901275 33279080 36642040 41598850 45802550 47252363 83197700 91605100 94504726 166395400 183210200 189009452 236261815 378018904 472523630 945047260 1181309075 1890094520 2362618150 4725236300 6001050101 9450472600 12002100202 24004200404 30005250505 48008400808 60010501010 120021002020 150026252525 240042004040 300052505050 600105010100 1200210020200