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2122202012121 = 34261710011473
BaseRepresentation
bin11110111000011101000…
…110001101100111011001
321111212202220111021020000
4132320131012031213121
5234232232203341441
64302532014123213
7306216100316622
oct36703506154731
97455686437200
102122202012121
1174902578a234
122a33691b0509
13125179a05b99
1474a02438a49
153a30b44b2b6
hex1ee1d18d9d9

2122202012121 has 20 divisors (see below), whose sum is σ = 3171414710772. Its totient is φ = 1414260580608.

The previous prime is 2122202012089. The next prime is 2122202012131. The reversal of 2122202012121 is 1212102022212.

It is a happy number.

2122202012121 is a `hidden beast` number, since 212 + 220 + 20 + 1 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1663790414400 + 458411597721 = 1289880^2 + 677061^2 .

It is not a de Polignac number, because 2122202012121 - 25 = 2122202012089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122202012094 and 2122202012103.

It is not an unprimeable number, because it can be changed into a prime (2122202012131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4793760 + ... + 5217713.

Almost surely, 22122202012121 is an apocalyptic number.

It is an amenable number.

2122202012121 is a deficient number, since it is larger than the sum of its proper divisors (1049212698651).

2122202012121 is a wasteful number, since it uses less digits than its factorization.

2122202012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014102 (or 10014093 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122202012121 its reverse (1212102022212), we get a palindrome (3334304034333).

The spelling of 2122202012121 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 2617 7851 23553 70659 211977 10011473 30034419 90103257 270309771 810929313 26200024841 78600074523 235800223569 707400670707 2122202012121