Search a number
-
+
121608216 = 2334672801
BaseRepresentation
bin1110011111110…
…01100000011000
322110211100010000
413033321200120
5222112430331
620022253000
73004436622
oct717714030
9273740100
10121608216
1162710064
1234887160
131c26ac32
1412217c12
15aa220e6
hex73f9818

121608216 has 80 divisors (see below), whose sum is σ = 345822840. Its totient is φ = 39916800.

The previous prime is 121608211. The next prime is 121608229. The reversal of 121608216 is 612806121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121608216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121608211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42016 + ... + 44816.

Almost surely, 2121608216 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 121608216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172911420).

121608216 is an abundant number, since it is smaller than the sum of its proper divisors (224214624).

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

121608216 is a wasteful number, since it uses less digits than its factorization.

121608216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121608216 is about 11027.6115274342. The cubic root of 121608216 is about 495.4360895263.

The spelling of 121608216 in words is "one hundred twenty-one million, six hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 2801 3618 4824 5427 5602 7236 8403 10854 11204 14472 16806 21708 22408 25209 33612 43416 50418 67224 75627 100836 151254 187667 201672 226881 302508 375334 453762 563001 605016 750668 907524 1126002 1501336 1689003 1815048 2252004 3378006 4504008 5067009 6756012 10134018 13512024 15201027 20268036 30402054 40536072 60804108 121608216