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12002220201120 = 2535371564143207
BaseRepresentation
bin1010111010100111110000…
…0100100101010010100000
31120111101211100210000011120
42232221330010211102200
53033121021332413440
641305424400412240
72346063130266042
oct256517404452240
946441740700146
1012002220201120
113908127451866
12141a13b317080
13690a5c675066
142d6ca67d7a92
1515c312cccdd0
hexaea7c1254a0

12002220201120 has 192 divisors, whose sum is σ = 38832185500416. Its totient is φ = 3113818398720.

The previous prime is 12002220201109. The next prime is 12002220201149. The reversal of 12002220201120 is 2110202220021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002220201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277762557 + ... + 277805763.

It is an arithmetic number, because the mean of its divisors is an integer number (202250966148).

Almost surely, 212002220201120 is an apocalyptic number.

12002220201120 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 12002220201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416092750208).

12002220201120 is an abundant number, since it is smaller than the sum of its proper divisors (26829965299296).

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

12002220201120 is a wasteful number, since it uses less digits than its factorization.

12002220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58903 (or 58895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002220201120 its reverse (2110202220021), we get a palindrome (14112422421141).

The spelling of 12002220201120 in words is "twelve trillion, two billion, two hundred twenty million, two hundred one thousand, one hundred twenty".