Search a number
-
+
12020430041120 = 255292212571017
BaseRepresentation
bin1010111011101011100101…
…1101100111000000100000
31120120010211102210201120002
42232322321131213000200
53033420320042303440
641322035340435132
72350306314340424
oct256727135470040
946503742721502
1012020430041120
113914921428106
121421781848aa8
136926a21c6707
142d7b13048b84
1515ca2b7d6115
hexaeeb9767020

12020430041120 has 48 divisors (see below), whose sum is σ = 28399248862488. Its totient is φ = 4808005601280.

The previous prime is 12020430041117. The next prime is 12020430041171. The reversal of 12020430041120 is 2114003402021.

12020430041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3128129897104 + 8892300144016 = 1768652^2 + 2981996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12020430041092 and 12020430041101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3389852 + ... + 5960868.

Almost surely, 212020430041120 is an apocalyptic number.

12020430041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020430041120 is an abundant number, since it is smaller than the sum of its proper divisors (16378818821368).

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

12020430041120 is a wasteful number, since it uses less digits than its factorization.

12020430041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600253 (or 2600245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12020430041120 its reverse (2114003402021), we get a palindrome (14134433443141).

The spelling of 12020430041120 in words is "twelve trillion, twenty billion, four hundred thirty million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 29221 58442 116884 146105 233768 292210 467536 584420 935072 1168840 2337680 2571017 4675360 5142034 10284068 12855085 20568136 25710170 41136272 51420340 82272544 102840680 205681360 411362720 75127687757 150255375514 300510751028 375638438785 601021502056 751276877570 1202043004112 1502553755140 2404086008224 3005107510280 6010215020560 12020430041120