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121220111221608 = 23379715973465701
BaseRepresentation
bin11011100011111111000001…
…101010110100001101101000
3120220012112021222022001112110
4123203333001222310031220
5111342032241433042413
61105451430022442320
734350602234354310
oct3343770152641550
9526175258261473
10121220111221608
1135696184645803
1211719329b933a0
1352840134616b9
1421d1128552440
15e0332ec2b8c3
hex6e3fc1ab4368

121220111221608 has 128 divisors (see below), whose sum is σ = 349936381105920. Its totient is φ = 34275043123200.

The previous prime is 121220111221607. The next prime is 121220111221633. The reversal of 121220111221608 is 806122111022121.

It is a super-2 number, since 2×1212201112216082 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121220111221607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260063158 + ... + 260528858.

It is an arithmetic number, because the mean of its divisors is an integer number (2733877977390).

Almost surely, 2121220111221608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220111221608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174968190552960).

121220111221608 is an abundant number, since it is smaller than the sum of its proper divisors (228716269884312).

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

121220111221608 is a wasteful number, since it uses less digits than its factorization.

121220111221608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481787 (or 481783 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 121220111221608 its reverse (806122111022121), we get a palindrome (927342222243729).

The spelling of 121220111221608 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 15973 16296 31946 47919 63892 95838 111811 127784 191676 223622 335433 383352 447244 465701 670866 894488 931402 1341732 1397103 1549381 1862804 2683464 2794206 3098762 3259907 3725608 4648143 5588412 6197524 6519814 9296286 9779721 10845667 11176824 12395048 13039628 18592572 19559442 21691334 26079256 32537001 37185144 39118884 43382668 45172997 65074002 78237768 86765336 90345994 130148004 135518991 180691988 260296008 271037982 316210979 361383976 542075964 632421958 948632937 1084151928 1264843916 1897265874 2529687832 3794531748 7438642073 7589063496 14877284146 22315926219 29754568292 44631852438 52070494511 59509136584 89263704876 104140989022 156211483533 178527409752 208281978044 312422967066 416563956088 624845934132 721548281081 1249691868264 1443096562162 2164644843243 2886193124324 4329289686486 5050837967567 5772386248648 8658579372972 10101675935134 15152513902701 17317158745944 20203351870268 30305027805402 40406703740536 60610055610804 121220111221608