Search a number
-
+
121203043120 = 24529205325447
BaseRepresentation
bin111000011100001000…
…0111010101100110000
3102120211211220112102001
41300320100322230300
53441210434334440
6131402505503344
711520344603515
oct1607020725460
9376754815361
10121203043120
1147446a5a235
121b5a67a1b54
13b5775059c3
145c1b02930c
1532458e2b9a
hex1c3843ab30

121203043120 has 80 divisors (see below), whose sum is σ = 291667671360. Its totient is φ = 46784812032.

The previous prime is 121203043111. The next prime is 121203043133. The reversal of 121203043120 is 21340302121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4750237 + ... + 4775683.

It is an arithmetic number, because the mean of its divisors is an integer number (3645845892).

Almost surely, 2121203043120 is an apocalyptic number.

121203043120 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 121203043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145833835680).

121203043120 is an abundant number, since it is smaller than the sum of its proper divisors (170464628240).

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

121203043120 is a wasteful number, since it uses less digits than its factorization.

121203043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27542 (or 27536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 121203043120 its reverse (21340302121), we get a palindrome (142543345241).

The spelling of 121203043120 in words is "one hundred twenty-one billion, two hundred three million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2053 2320 4106 8212 10265 16424 20530 25447 32848 41060 50894 59537 82120 101788 119074 127235 164240 203576 238148 254470 297685 407152 476296 508940 595370 737963 952592 1017880 1190740 1475926 2035760 2381480 2951852 3689815 4762960 5903704 7379630 11807408 14759260 29518520 52242691 59037040 104485382 208970764 261213455 417941528 522426910 835883056 1044853820 1515038039 2089707640 3030076078 4179415280 6060152156 7575190195 12120304312 15150380390 24240608624 30300760780 60601521560 121203043120