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1200201020120 = 235711231343303
BaseRepresentation
bin10001011101110001100…
…011100011001011011000
311020201221001221222202002
4101131301203203023120
5124131002430120440
62315210441100132
7152466046226354
oct21356143431330
94221831858662
101200201020120
11423003206523
12174734a87648
138924213b41b
14421390d4464
1521347697115
hex117718e32d8

1200201020120 has 64 divisors (see below), whose sum is σ = 2740719421440. Its totient is φ = 472932835200.

The previous prime is 1200201020101. The next prime is 1200201020129. The reversal of 1200201020120 is 210201020021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200201020129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3324389 + ... + 3667691.

It is an arithmetic number, because the mean of its divisors is an integer number (42823740960).

Almost surely, 21200201020120 is an apocalyptic number.

1200201020120 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 1200201020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370359710720).

1200201020120 is an abundant number, since it is smaller than the sum of its proper divisors (1540518401320).

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

1200201020120 is a wasteful number, since it uses less digits than its factorization.

1200201020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344616 (or 344612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200201020120 its reverse (210201020021), we get a palindrome (1410402040141).

Subtracting from 1200201020120 its reverse (210201020021), we obtain a palindrome (990000000099).

The spelling of 1200201020120 in words is "one trillion, two hundred billion, two hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1231 1420 2462 2840 4924 6155 9848 12310 24620 49240 87401 174802 343303 349604 437005 686606 699208 874010 1373212 1716515 1748020 2746424 3433030 3496040 6866060 13732120 24374513 48749026 97498052 121872565 194996104 243745130 422605993 487490260 845211986 974980520 1690423972 2113029965 3380847944 4226059930 8452119860 16904239720 30005025503 60010051006 120020102012 150025127515 240040204024 300050255030 600100510060 1200201020120