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12002002011020 = 2257892413996857
BaseRepresentation
bin1010111010100110111100…
…0100010000001110001100
31120111101021011012210121202
42232221233010100032030
53033120100003323040
641305351004045032
72346054540561230
oct256515704201614
946441234183552
1012002002011020
11390802527536a
12141a09a233778
13690a263bc3a8
142d6c8583c5c0
1515c2eda7e015
hexaea6f11038c

12002002011020 has 96 divisors (see below), whose sum is σ = 29249326592640. Its totient is φ = 4051852738560.

The previous prime is 12002002010987. The next prime is 12002002011023. The reversal of 12002002011020 is 2011020020021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002002010992 and 12002002011010.

It is not an unprimeable number, because it can be changed into a prime (12002002011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004432 + ... + 5001288.

It is an arithmetic number, because the mean of its divisors is an integer number (304680485340).

Almost surely, 212002002011020 is an apocalyptic number.

12002002011020 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 12002002011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624663296320).

12002002011020 is an abundant number, since it is smaller than the sum of its proper divisors (17247324581620).

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

12002002011020 is a wasteful number, since it uses less digits than its factorization.

12002002011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997203 (or 3997201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002002011020 its reverse (2011020020021), we get a palindrome (14013022031041).

The spelling of 12002002011020 in words is "twelve trillion, two billion, two million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 241 356 445 482 623 890 964 1205 1246 1687 1780 2410 2492 3115 3374 4820 6230 6748 8435 12460 16870 21449 33740 42898 85796 107245 150143 214490 300286 428980 600572 750715 1501430 3002860 3996857 7993714 15987428 19984285 27977999 39968570 55955998 79937140 111911996 139889995 279779990 355720273 559559980 711440546 963242537 1422881092 1778601365 1926485074 2490041911 3557202730 3852970148 4816212685 4980083822 6742697759 7114405460 9632425370 9960167644 12450209555 13485395518 19264850740 24900419110 26970791036 33713488795 49800838220 67426977590 85728585793 134853955180 171457171586 342914343172 428642928965 600100100551 857285857930 1200200201102 1714571715860 2400400402204 3000500502755 6001001005510 12002002011020