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12212112002000 = 24536106056001
BaseRepresentation
bin1011000110110101101010…
…0110010000101111010000
31121020110121002020020111112
42301231122212100233100
53100040401133031000
641550100010232452
72400203343203501
oct261553246205720
947213532206445
1012212112002000
113989144946409
121452957725728
136a779c129c41
143030d8514ba8
151629e988b235
hexb1b5a990bd0

12212112002000 has 40 divisors (see below), whose sum is σ = 29528886825672. Its totient is φ = 4884844800000.

The previous prime is 12212112001979. The next prime is 12212112002017. The reversal of 12212112002000 is 20021121221.

It can be written as a sum of positive squares in 4 ways, for example, as 1411134919744 + 10800977082256 = 1187912^2 + 3286484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 3053026001 + ... + 3053030000.

Almost surely, 212212112002000 is an apocalyptic number.

12212112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212112002000 is an abundant number, since it is smaller than the sum of its proper divisors (17316774823672).

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

12212112002000 is an equidigital number, since it uses as much as digits as its factorization.

12212112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106056024 (or 6106056008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212112002000 its reverse (20021121221), we get a palindrome (12232133123221).

The spelling of 12212112002000 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6106056001 12212112002 24424224004 30530280005 48848448008 61060560010 97696896016 122121120020 152651400025 244242240040 305302800050 488484480080 610605600100 763257000125 1221211200200 1526514000250 2442422400400 3053028000500 6106056001000 12212112002000