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12212002100001 = 31117914563141961
BaseRepresentation
bin1011000110110101010000…
…0011000001001100100001
31121020110022102102122022010
42301231110003001030201
53100040140014200001
641550041042503133
72400200540100504
oct261552403011441
947213272378263
1012212002100001
113989098901410
121452926964aa9
136a778242a382
143030c7aa713b
151629dedcc8d6
hexb1b540c1321

12212002100001 has 32 divisors (see below), whose sum is σ = 17863498667520. Its totient is φ = 7359308611200.

The previous prime is 12212002099963. The next prime is 12212002100009. The reversal of 12212002100001 is 10000120021221.

It is not a de Polignac number, because 12212002100001 - 242 = 7813955588897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12212002100001.

It is not an unprimeable number, because it can be changed into a prime (12212002100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85952661 + ... + 86094621.

It is an arithmetic number, because the mean of its divisors is an integer number (558234333360).

Almost surely, 212212002100001 is an apocalyptic number.

12212002100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212002100001 is a deficient number, since it is larger than the sum of its proper divisors (5651496567519).

12212002100001 is a wasteful number, since it uses less digits than its factorization.

12212002100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156717.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212002100001 its reverse (10000120021221), we get a palindrome (22212122121222).

The spelling of 12212002100001 in words is "twelve trillion, two hundred twelve billion, two million, one hundred thousand, one".

Divisors: 1 3 11 33 179 537 1969 5907 14563 43689 141961 160193 425883 480579 1561571 2606777 4684713 7820331 25411019 28674547 76233057 86023641 279521209 838563627 2067378043 6202134129 22741158473 68223475419 370060669697 1110182009091 4070667366667 12212002100001