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201221202002112 = 26322111655651017
BaseRepresentation
bin101101110000001001110110…
…010001000100000011000000
3222101110120002112122110201100
4231300021312101010003000
5202333302010203031422
61551543424414334400
760245515653132015
oct5560116621040300
9871416075573640
10201221202002112
115912a483782436
121a69a0254ba400
138838102297066
14379922dd2570c
15183e35a2c97ac
hexb702764440c0

201221202002112 has 84 divisors (see below), whose sum is σ = 579497724112216. Its totient is φ = 66755848965120.

The previous prime is 201221202002027. The next prime is 201221202002143. The reversal of 201221202002112 is 211200202122102.

It is a happy number.

201221202002112 is a `hidden beast` number, since 201 + 221 + 20 + 200 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 827703973 + ... + 827947044.

Almost surely, 2201221202002112 is an apocalyptic number.

It is an amenable number.

201221202002112 is an abundant number, since it is smaller than the sum of its proper divisors (378276522110104).

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

201221202002112 is a wasteful number, since it uses less digits than its factorization.

201221202002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655651246 (or 1655651233 counting only the distinct ones).

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

Adding to 201221202002112 its reverse (211200202122102), we get a palindrome (412421404124214).

The spelling of 201221202002112 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 211 288 422 576 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 20256 30384 40512 60768 121536 1655651017 3311302034 4966953051 6622604068 9933906102 13245208136 14900859153 19867812204 26490416272 29801718306 39735624408 52980832544 59603436612 79471248816 105961665088 119206873224 158942497632 238413746448 317884995264 349342364587 476827492896 698684729174 953654985792 1048027093761 1397369458348 2096054187522 2794738916696 3144081281283 4192108375044 5589477833392 6288162562566 8384216750088 11178955666784 12576325125132 16768433500176 22357911333568 25152650250264 33536867000352 50305300500528 67073734000704 100610601001056 201221202002112