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121222100223 = 32737179290527
BaseRepresentation
bin111000011100101100…
…1100111010011111111
3102120220011202201211200
41300321121213103333
53441230324201343
6131404430150543
711520665564550
oct1607131472377
9376804681750
10121222100223
1147456796104
121b5b1052453
13b57b448bb3
145c1d78a327
1532474094d3
hex1c396674ff

121222100223 has 48 divisors (see below), whose sum is σ = 206669998080. Its totient is φ = 67020861888.

The previous prime is 121222100221. The next prime is 121222100249. The reversal of 121222100223 is 322001222121.

121222100223 is a `hidden beast` number, since 121 + 222 + 100 + 223 = 666.

It is not a de Polignac number, because 121222100223 - 21 = 121222100221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121222100196 and 121222100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271986 + ... + 562512.

It is an arithmetic number, because the mean of its divisors is an integer number (4305624960).

Almost surely, 2121222100223 is an apocalyptic number.

121222100223 is a deficient number, since it is larger than the sum of its proper divisors (85447897857).

121222100223 is a wasteful number, since it uses less digits than its factorization.

121222100223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290756 (or 290753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121222100223 its reverse (322001222121), we get a palindrome (443223322344).

It can be divided in two parts, 121222 and 100223, that added together give a triangular number (221445 = T665).

The spelling of 121222100223 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 37 63 111 179 259 333 537 777 1253 1611 2331 3759 6623 11277 19869 46361 59607 139083 290527 417249 871581 2033689 2614743 6101067 10749499 18303201 32248497 52004333 75246493 96745491 156012999 225739479 364030331 468038997 677218437 1092090993 1924160321 3276272979 5772480963 13469122247 17317442889 40407366741 121222100223