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121144422201 = 31129374437723
BaseRepresentation
bin111000011010011000…
…1010010111100111001
3102120200202121021121220
41300310301102330321
53441100433002301
6131353013222253
711516033412165
oct1606461227471
9376622537556
10121144422201
11474169604a0
121b58b031989
13b56831c67a
145c13329ca5
1532406b3936
hex1c34c52f39

121144422201 has 64 divisors (see below), whose sum is σ = 187659832320. Its totient is φ = 68808579840.

The previous prime is 121144422181. The next prime is 121144422227. The reversal of 121144422201 is 102224441121.

It is a happy number.

It is not a de Polignac number, because 121144422201 - 211 = 121144420153 is a prime.

It is a super-3 number, since 3×1211444222013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121144422271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15682326 + ... + 15690048.

It is an arithmetic number, because the mean of its divisors is an integer number (2932184880).

Almost surely, 2121144422201 is an apocalyptic number.

121144422201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121144422201 is a deficient number, since it is larger than the sum of its proper divisors (66515410119).

121144422201 is a wasteful number, since it uses less digits than its factorization.

121144422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 121144422201 its reverse (102224441121), we get a palindrome (223368863322).

It can be divided in two parts, 121144 and 422201, that added together give a palindrome (543345).

The spelling of 121144422201 in words is "one hundred twenty-one billion, one hundred forty-four million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 11 29 33 37 87 111 319 407 443 957 1073 1221 1329 3219 4873 7723 11803 12847 14619 16391 23169 35409 38541 49173 84953 141317 180301 223967 254859 285751 423951 475339 540903 671901 857253 1426017 2463637 3143261 3421289 5228729 7390911 8286779 9429783 10263867 15686187 24860337 37634179 91154569 99217381 112902537 126587693 273463707 297652143 379763079 1091391191 1392464623 3274173573 3671043097 4177393869 11013129291 40381474067 121144422201