Search a number
-
+
12010011020000 = 2554785785793
BaseRepresentation
bin1010111011000100110001…
…1100001100101011100000
31120112010221022120121111222
42232301030130030223200
53033233000310120000
641313153424554212
72346460161202520
oct256611434145340
946463838517458
1012010011020000
113910465136354
12141b754482968
13691701767c66
142d74053ad680
1515c61bc58a85
hexaec4c70cae0

12010011020000 has 120 divisors (see below), whose sum is σ = 33767347377456. Its totient is φ = 4117718016000.

The previous prime is 12010011019999. The next prime is 12010011020003. The reversal of 12010011020000 is 2011001021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12010011020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010011020003) 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, 42752897 + ... + 43032896.

Almost surely, 212010011020000 is an apocalyptic number.

12010011020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010011020000 is an abundant number, since it is smaller than the sum of its proper divisors (21757336357456).

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

12010011020000 is an frugal number, since it uses more digits than its factorization.

12010011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85785830 (or 85785807 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12010011020000 its reverse (2011001021), we get a palindrome (12012022021021).

The spelling of 12010011020000 in words is "twelve trillion, ten billion, eleven million, twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 85785793 171571586 343143172 428928965 600500551 686286344 857857930 1201001102 1372572688 1715715860 2144644825 2402002204 2745145376 3002502755 3431431720 4289289650 4804004408 6005005510 6862863440 8578579300 9608008816 10723224125 12010011020 13725726880 15012513775 17157158600 19216017632 21446448250 24020022040 30025027550 34314317200 42892896500 48040044080 53616120625 60050055100 68628634400 75062568875 85785793000 96080088160 107232241250 120100110200 150125137750 171571586000 214464482500 240200220400 300250275500 343143172000 375312844375 428928965000 480400440800 600500551000 750625688750 857857930000 1201001102000 1501251377500 1715715860000 2402002204000 3002502755000 6005005510000 12010011020000