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12212000002000 = 24536106000001
BaseRepresentation
bin1011000110110101001111…
…1011000000111111010000
31121020110022021111001101101
42301231103323000333100
53100040134000031000
641550040525514144
72400200513212051
oct261552373007720
947213267431341
1012212000002000
1139890976a9127
121452926112954
136a7781b74456
143030c76bc728
151629deb15e6a
hexb1b53ec0fd0

12212000002000 has 40 divisors (see below), whose sum is σ = 29528616009672. Its totient is φ = 4884800000000.

The previous prime is 12212000001977. The next prime is 12212000002039. The reversal of 12212000002000 is 20000021221.

It can be written as a sum of positive squares in 4 ways, for example, as 306353394064 + 11905646607936 = 553492^2 + 3450456^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3052998001 + ... + 3053002000.

Almost surely, 212212000002000 is an apocalyptic number.

12212000002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000002000 is an abundant number, since it is smaller than the sum of its proper divisors (17316616007672).

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

12212000002000 is an equidigital number, since it uses as much as digits as its factorization.

12212000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106000024 (or 6106000008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12212000002000 its reverse (20000021221), we get a palindrome (12232000023221).

The spelling of 12212000002000 in words is "twelve trillion, two hundred twelve billion, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6106000001 12212000002 24424000004 30530000005 48848000008 61060000010 97696000016 122120000020 152650000025 244240000040 305300000050 488480000080 610600000100 763250000125 1221200000200 1526500000250 2442400000400 3053000000500 6106000001000 12212000002000