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121160520216 = 23329779721767
BaseRepresentation
bin111000011010110111…
…0101101001000011000
3102120201212220010221200
41300311232231020120
53441114043121331
6131354350234200
711516320300161
oct1606556551030
9376655803850
10121160520216
1147424a5613a
121b5944b5960
13b56b767a18
145c1551a768
153241ce35e6
hex1c35bad218

121160520216 has 96 divisors (see below), whose sum is σ = 331957211040. Its totient is φ = 39918495744.

The previous prime is 121160520179. The next prime is 121160520251. The reversal of 121160520216 is 612025061121.

121160520216 is a `hidden beast` number, since 1 + 2 + 11 + 605 + 20 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121160520216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5555365 + ... + 5577131.

It is an arithmetic number, because the mean of its divisors is an integer number (3457887615).

Almost surely, 2121160520216 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 121160520216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165978605520).

121160520216 is an abundant number, since it is smaller than the sum of its proper divisors (210796690824).

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

121160520216 is a wasteful number, since it uses less digits than its factorization.

121160520216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22673 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 121160520216 its reverse (612025061121), we get a palindrome (733185581337).

The spelling of 121160520216 in words is "one hundred twenty-one billion, one hundred sixty million, five hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 797 873 1164 1594 1746 2328 2391 3188 3492 4782 6376 6984 7173 9564 14346 19128 21767 28692 43534 57384 65301 77309 87068 130602 154618 174136 195903 231927 261204 309236 391806 463854 522408 618472 695781 783612 927708 1391562 1567224 1855416 2111399 2783124 4222798 5566248 6334197 8445596 12668394 16891192 17348299 19002591 25336788 34696598 38005182 50673576 52044897 69393196 76010364 104089794 138786392 152020728 156134691 208179588 312269382 416359176 624538764 1249077528 1682785003 3365570006 5048355009 6731140012 10096710018 13462280024 15145065027 20193420036 30290130054 40386840072 60580260108 121160520216