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12002210201020 = 2251397147541037
BaseRepresentation
bin1010111010100111101101…
…1110011011110110111100
31120111101210122221221121111
42232221323132123312330
53033121011302413040
641305423402211404
72346062646266164
oct256517336336674
946441718857544
1012002210201020
113908121841616
12141a137ab3b64
13690a5a583440
142d6ca53535a4
1515c311ea4dea
hexaea7b79bdbc

12002210201020 has 48 divisors (see below), whose sum is σ = 27171414694368. Its totient is φ = 4427021272320.

The previous prime is 12002210200997. The next prime is 12002210201021. The reversal of 12002210201020 is 2010201220021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002210201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23518059 + ... + 24022978.

It is an arithmetic number, because the mean of its divisors is an integer number (566071139466).

Almost surely, 212002210201020 is an apocalyptic number.

12002210201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002210201020 is an abundant number, since it is smaller than the sum of its proper divisors (15169204493348).

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

12002210201020 is a wasteful number, since it uses less digits than its factorization.

12002210201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47542030 (or 47542028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002210201020 its reverse (2010201220021), we get a palindrome (14012411421041).

The spelling of 12002210201020 in words is "twelve trillion, two billion, two hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 971 1942 3884 4855 9710 12623 19420 25246 50492 63115 126230 252460 47541037 95082074 190164148 237705185 475410370 618033481 950820740 1236066962 2472133924 3090167405 6180334810 12360669620 46162346927 92324693854 184649387708 230811734635 461623469270 600110510051 923246938540 1200221020102 2400442040204 3000552550255 6001105100510 12002210201020