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22120202120121 = 3272294186348883
BaseRepresentation
bin1010000011110010000101…
…10010100010101110111001
32220022200002220210201210200
411001321002302202232321
510344404133220320441
6115013514111432413
74442063141466600
oct501710262425671
986280086721720
1022120202120121
117059141473866
122593062b25709
13c45c0687c771
145668a2c28a37
152855e59417b6
hex141e42ca2bb9

22120202120121 has 144 divisors (see below), whose sum is σ = 39433854620160. Its totient is φ = 11892544796160.

The previous prime is 22120202120113. The next prime is 22120202120129. The reversal of 22120202120121 is 12102120202122.

It is a happy number.

22120202120121 is a `hidden beast` number, since 221 + 2 + 0 + 202 + 120 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (22120202120113) and next prime (22120202120129).

It is not a de Polignac number, because 22120202120121 - 23 = 22120202120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120202120094 and 22120202120103.

It is not an unprimeable number, because it can be changed into a prime (22120202120129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452488746 + ... + 452537628.

It is an arithmetic number, because the mean of its divisors is an integer number (273846212640).

Almost surely, 222120202120121 is an apocalyptic number.

22120202120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22120202120121 is a deficient number, since it is larger than the sum of its proper divisors (17313652500039).

22120202120121 is a wasteful number, since it uses less digits than its factorization.

22120202120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49836 (or 49826 counting only the distinct ones).

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

Adding to 22120202120121 its reverse (12102120202122), we get a palindrome (34222322322243).

The spelling of 22120202120121 in words is "twenty-two trillion, one hundred twenty billion, two hundred two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 29 41 49 63 87 123 147 203 261 287 369 441 609 861 863 1189 1421 1827 2009 2583 2589 3567 4263 6027 6041 7767 8323 10701 12789 18081 18123 24969 25027 35383 42287 48883 54369 58261 74907 75081 106149 126861 146649 174783 175189 225243 247681 318447 342181 380583 439947 524349 525567 743043 1026107 1026543 1226323 1417607 1576701 1733767 2004203 2229129 2395267 3078321 3079629 3678969 4252821 5201301 6012609 7182749 7185801 9234963 9923249 11036907 12758463 14029421 15603903 18037827 21548247 21557403 29769747 42088263 42186029 50279243 58121887 64644741 69462743 89309241 98205947 126264789 126558087 150837729 174365661 208388229 294617841 295302203 379674261 406853209 452513187 523096983 625164687 883853523 885906609 1220559627 1223394841 1729627189 2067115421 2657719827 2847972463 3661678881 3670184523 5188881567 6201346263 8543917389 8563763887 11010553569 12107390323 15566644701 18604038789 25631752167 25691291661 36322170969 50159188481 59946347209 77073874983 84751732261 108966512907 150477565443 179839041627 254255196783 351114319367 451432696329 539517124881 762765590349 1053342958101 2457800235569 3160028874303 7373400706707 22120202120121