Search a number
-
+
1221202221201 = 324710128879901
BaseRepresentation
bin10001110001010101010…
…100110001100010010001
311022202010200102112200100
4101301111110301202101
5130002010232034301
62333002413443013
7154141346416014
oct21612524614221
94282120375610
101221202221201
114309aa8a9756
121788161a0469
138b20b083b21
144316c35b37b
1521b76280286
hex11c55531891

1221202221201 has 48 divisors (see below), whose sum is σ = 1820140328448. Its totient is φ = 788570640000.

The previous prime is 1221202221193. The next prime is 1221202221203. The reversal of 1221202221201 is 1021222021221.

It is a happy number.

1221202221201 is a `hidden beast` number, since 1 + 221 + 20 + 2 + 221 + 201 = 666.

It is not a de Polignac number, because 1221202221201 - 23 = 1221202221193 is a prime.

It is a super-2 number, since 2×12212022212012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221202221203) 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 47 ways as a sum of consecutive naturals, for example, 123336351 + ... + 123346251.

It is an arithmetic number, because the mean of its divisors is an integer number (37919590176).

Almost surely, 21221202221201 is an apocalyptic number.

It is an amenable number.

1221202221201 is a deficient number, since it is larger than the sum of its proper divisors (598938107247).

1221202221201 is a wasteful number, since it uses less digits than its factorization.

1221202221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221202221201 its reverse (1021222021221), we get a palindrome (2242424242422).

The spelling of 1221202221201 in words is "one trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 47 101 141 303 423 909 2887 4747 8661 9901 14241 25983 29703 42723 89109 135689 291587 407067 465347 874761 1000001 1221201 1396041 2624283 3000003 4188123 9000009 13704589 28584187 41113767 47000047 85752561 123341301 141000141 257257683 423000423 1343456789 2887002887 4030370367 8661008661 12091111101 25983025983 135689135689 407067407067 1221202221201