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12002200102120 = 235653459502301
BaseRepresentation
bin1010111010100111101011…
…0111111010010011101000
31120111101202221221212112011
42232221322313322103220
53033121001211231440
641305422401525304
72346062464405264
oct256517267722350
946441687855464
1012002200102120
113908117074118
12141a134643834
13690a58458867
142d6ca3c850a4
1515c31115c9ea
hexaea7adfa4e8

12002200102120 has 32 divisors (see below), whose sum is σ = 27046305495720. Its totient is φ = 4793527993600.

The previous prime is 12002200102043. The next prime is 12002200102133. The reversal of 12002200102120 is 2120100220021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4149751964836 + 7852448137284 = 2037094^2 + 2802222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12002200102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229725031 + ... + 229777270.

Almost surely, 212002200102120 is an apocalyptic number.

12002200102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002200102120 is an abundant number, since it is smaller than the sum of its proper divisors (15044105393600).

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

12002200102120 is a wasteful number, since it uses less digits than its factorization.

12002200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459502965 (or 459502961 counting only the distinct ones).

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

Adding to 12002200102120 its reverse (2120100220021), we get a palindrome (14122300322141).

The spelling of 12002200102120 in words is "twelve trillion, two billion, two hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 653 1306 2612 3265 5224 6530 13060 26120 459502301 919004602 1838009204 2297511505 3676018408 4595023010 9190046020 18380092040 300055002553 600110005106 1200220010212 1500275012765 2400440020424 3000550025530 6001100051060 12002200102120