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121118456382 = 2371153293329
BaseRepresentation
bin111000011001100111…
…0001111101000111110
3102120121221202002012220
41300303032033220332
53441022311101012
6131350244510210
711515266615120
oct1606316175076
9376557662186
10121118456382
1147403235a40
121b5823ab366
13b562b2a991
145c0dacb210
15323d28508c
hex1c3338fa3e

121118456382 has 96 divisors (see below), whose sum is σ = 307818766080. Its totient is φ = 30865436160.

The previous prime is 121118456363. The next prime is 121118456399. The reversal of 121118456382 is 283654811121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251094 + ... + 1344422.

It is an arithmetic number, because the mean of its divisors is an integer number (3206445480).

Almost surely, 2121118456382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121118456382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153909383040).

121118456382 is an abundant number, since it is smaller than the sum of its proper divisors (186700309698).

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

121118456382 is a wasteful number, since it uses less digits than its factorization.

121118456382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93458 (or 93405 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The spelling of 121118456382 in words is "one hundred twenty-one billion, one hundred eighteen million, four hundred fifty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1749 2226 2809 3498 4081 5618 8162 8427 12243 16854 19663 24486 30899 39326 58989 61798 92697 93329 117978 185394 186658 216293 279987 432586 559974 648879 653303 1026619 1297758 1306606 1959909 2053238 3079857 3919818 4946437 6159714 7186333 9892874 14372666 14839311 21558999 29678622 34625059 43117998 54410807 69250118 103875177 108821614 163232421 207750354 262161161 326464842 380875649 524322322 761751298 786483483 1142626947 1572966966 1835128127 2285253894 2883772771 3670256254 5505384381 5767545542 8651318313 11010768762 17302636626 20186409397 40372818794 60559228191 121118456382