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1200202222121 = 71790111119269
BaseRepresentation
bin10001011101110001101…
…000001000101000101001
311020201221011020001120122
4101131301220020220221
5124131003232101441
62315210522533025
7152466062363630
oct21356150105051
94221834201518
101200202222121
11423003957611
12174735367175
138924246c576
1442139328517
152134783334b
hex11771a08a29

1200202222121 has 16 divisors (see below), whose sum is σ = 1452508018560. Its totient is φ = 968122049280.

The previous prime is 1200202222111. The next prime is 1200202222129. The reversal of 1200202222121 is 1212222020021.

It is a happy number.

It is not a de Polignac number, because 1200202222121 - 218 = 1200201959977 is a prime.

It is a super-3 number, since 3×12002022221213 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1200202222121.

It is not an unprimeable number, because it can be changed into a prime (1200202222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512675 + ... + 1631943.

It is an arithmetic number, because the mean of its divisors is an integer number (90781751160).

Almost surely, 21200202222121 is an apocalyptic number.

It is an amenable number.

1200202222121 is a deficient number, since it is larger than the sum of its proper divisors (252305796439).

1200202222121 is a wasteful number, since it uses less digits than its factorization.

1200202222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128304.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1200202222121 its reverse (1212222020021), we get a palindrome (2412424242142).

The spelling of 1200202222121 in words is "one trillion, two hundred billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 17 119 9011 63077 153187 1072309 1119269 7834883 19027573 133193011 10085732959 70600130713 171457460303 1200202222121