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121395096 = 23321741259
BaseRepresentation
bin1110011110001…
…01011110011000
322110102111202200
413033011132120
5222034120341
620013530200
73002561364
oct717053630
9273374680
10121395096
1162584a29
12347a3960
131c1c4c24
14121a02a4
15a9cddb6
hex73c5798

121395096 has 144 divisors (see below), whose sum is σ = 362863800. Its totient is φ = 36526080.

The previous prime is 121395059. The next prime is 121395107. The reversal of 121395096 is 690593121.

121395096 is a `hidden beast` number, since 12 + 139 + 509 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121395096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2057515 + ... + 2057573.

Almost surely, 2121395096 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 121395096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181431900).

121395096 is an abundant number, since it is smaller than the sum of its proper divisors (241468704).

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

121395096 is a wasteful number, since it uses less digits than its factorization.

121395096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 121395096 is about 11017.9442728669. The cubic root of 121395096 is about 495.1465008673.

The spelling of 121395096 in words is "one hundred twenty-one million, three hundred ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 59 68 72 82 102 118 123 136 153 164 177 204 236 246 306 328 354 369 408 472 492 531 612 697 708 738 984 1003 1062 1224 1394 1416 1476 1681 2006 2091 2124 2419 2788 2952 3009 3362 4012 4182 4248 4838 5043 5576 6018 6273 6724 7257 8024 8364 9027 9676 10086 12036 12546 13448 14514 15129 16728 18054 19352 20172 21771 24072 25092 28577 29028 30258 36108 40344 41123 43542 50184 57154 58056 60516 72216 82246 85731 87084 99179 114308 121032 123369 164492 171462 174168 198358 228616 246738 257193 297537 328984 342924 370107 396716 493476 514386 595074 685848 740214 793432 892611 986952 1028772 1190148 1480428 1686043 1785222 2057544 2380296 2960856 3372086 3570444 5058129 6744172 7140888 10116258 13488344 15174387 20232516 30348774 40465032 60697548 121395096