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12002222221220 = 225711191133630019
BaseRepresentation
bin1010111010100111110000…
…1100010010011110100100
31120111101211111120122020002
42232221330030102132210
53033121022342034340
641305424512000432
72346063153411410
oct256517414223644
946441744518202
1012002222221220
113908128601570
12141a13bb30118
13690a5cc0169a
142d6ca6ba1d40
1515c31307b715
hexaea7c3127a4

12002222221220 has 192 divisors, whose sum is σ = 33370628659200. Its totient is φ = 3512695818240.

The previous prime is 12002222221193. The next prime is 12002222221289. The reversal of 12002222221220 is 2212222220021.

12002222221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12002222221192 and 12002222221201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1491371 + ... + 5121389.

It is an arithmetic number, because the mean of its divisors is an integer number (173805357600).

Almost surely, 212002222221220 is an apocalyptic number.

12002222221220 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 12002222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685314329600).

12002222221220 is an abundant number, since it is smaller than the sum of its proper divisors (21368406437980).

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

12002222221220 is a wasteful number, since it uses less digits than its factorization.

12002222221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630178 (or 3630176 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12002222221220 its reverse (2212222220021), we get a palindrome (14214444441241).

The spelling of 12002222221220 in words is "twelve trillion, two billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".