Search a number
-
+
1211121012222 = 2341123188915643
BaseRepresentation
bin10001100111111100011…
…100000000110111111110
311021210010002212001210000
4101213330130000313332
5124320333434342342
62324214210255130
7153333464514132
oct21477434006776
94253102761700
101211121012222
114276a7268190
12176881b874a6
138a292601c04
14428934d93c2
15217861d044c
hex119fc700dfe

1211121012222 has 160 divisors (see below), whose sum is σ = 3091069175040. Its totient is φ = 350841300480.

The previous prime is 1211121012191. The next prime is 1211121012239. The reversal of 1211121012222 is 2222101211121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211121012195 and 1211121012204.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 77414733 + ... + 77430375.

It is an arithmetic number, because the mean of its divisors is an integer number (19319182344).

Almost surely, 21211121012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211121012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545534587520).

1211121012222 is an abundant number, since it is smaller than the sum of its proper divisors (1879948162818).

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

1211121012222 is a wasteful number, since it uses less digits than its factorization.

1211121012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17580 (or 17571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1211121012222 its reverse (2222101211121), we get a palindrome (3433222223343).

The spelling of 1211121012222 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 1889 2277 3726 3778 4554 5667 6831 11334 13662 15643 17001 20493 20779 31286 34002 40986 41558 43447 46929 51003 62337 86894 93858 102006 124674 130341 140787 153009 172073 187011 260682 281574 306018 344146 359789 374022 391023 422361 477917 516219 561033 719578 782046 844722 955834 1032438 1079367 1122066 1173069 1267083 1433751 1548657 1683099 2158734 2346138 2534166 2867502 3097314 3238101 3366198 3519207 3957679 4301253 4645971 6476202 7038414 7915358 8602506 9291942 9714303 11873037 12903759 13937913 19428606 23746074 25807518 27875826 29142909 29549627 35619111 38711277 58285818 59099254 71238222 77422554 88648881 106857333 177297762 213714666 265946643 320571999 325045897 531893286 641143998 650091794 679641421 797839929 975137691 1359282842 1595679858 1950275382 2038924263 2393519787 2925413073 4077848526 4787039574 5850826146 6116772789 7476055631 8776239219 12233545578 14952111262 17552478438 18350318367 22428166893 26328717657 36700636734 44856333786 52657435314 55050955101 67284500679 110101910202 134569001358 201853502037 403707004074 605560506111 1211121012222