Search a number
-
+
121005561320 = 23572579411787
BaseRepresentation
bin111000010110001111…
…1100101010111101000
3102120100002022102022022
41300230133211113220
53440304410430240
6131331133044012
711512426205030
oct1605437452750
9376302272268
10121005561320
1147355537236
121b550626608
13b545620977
145bdcb008c0
1532333d49b5
hex1c2c7e55e8

121005561320 has 128 divisors (see below), whose sum is σ = 312874824960. Its totient is φ = 41259171840.

The previous prime is 121005561311. The next prime is 121005561343. The reversal of 121005561320 is 23165500121.

It is a self number, because there is not a number n which added to its sum of digits gives 121005561320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67713467 + ... + 67715253.

It is an arithmetic number, because the mean of its divisors is an integer number (2444334570).

Almost surely, 2121005561320 is an apocalyptic number.

121005561320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121005561320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156437412480).

121005561320 is an abundant number, since it is smaller than the sum of its proper divisors (191869263640).

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

121005561320 is a wasteful number, since it uses less digits than its factorization.

121005561320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 121005561320 in words is "one hundred twenty-one billion, five million, five hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 941 1028 1285 1787 1799 1882 2056 2570 3574 3598 3764 4705 5140 6587 7148 7196 7528 8935 8995 9410 10280 12509 13174 14296 14392 17870 17990 18820 25018 26348 32935 35740 35980 37640 50036 52696 62545 65870 71480 71960 100072 125090 131740 241837 250180 263480 459259 483674 500360 918518 967348 1209185 1681567 1692859 1837036 1934696 2296295 2418370 3214813 3363134 3385718 3674072 4592590 4836740 6429626 6726268 6771436 8407835 8464295 9185180 9673480 11770969 12859252 13452536 13542872 16074065 16815670 16928590 18370360 23541938 25718504 32148130 33631340 33857180 47083876 58854845 64296260 67262680 67714360 94167752 117709690 128592520 235419380 432162719 470838760 864325438 1728650876 2160813595 3025139033 3457301752 4321627190 6050278066 8643254380 12100556132 15125695165 17286508760 24201112264 30251390330 60502780660 121005561320