Search a number
-
+
122002022102121 = 3274873976468241
BaseRepresentation
bin11011101111010111001111…
…001100000111010001101001
3120222222021112200120022112200
4123233113033030013101221
5111442340120124231441
61111250542154330413
734461232561236540
oct3357271714072151
9528867480508480
10122002022102121
1135967848988277
1211824986429a09
13530c9838a6575
14221ad022cd157
15e18844e0e7b6
hex6ef5cf307469

122002022102121 has 24 divisors (see below), whose sum is σ = 201813716217984. Its totient is φ = 69572288327040.

The previous prime is 122002022102071. The next prime is 122002022102143. The reversal of 122002022102121 is 121201220200221.

It is a happy number.

122002022102121 is a `hidden beast` number, since 1 + 220 + 0 + 20 + 2 + 210 + 212 + 1 = 666.

It is not a de Polignac number, because 122002022102121 - 211 = 122002022100073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122002022102094 and 122002022102103.

It is not an unprimeable number, because it can be changed into a prime (122002022102321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988203440 + ... + 1988264801.

It is an arithmetic number, because the mean of its divisors is an integer number (8408904842416).

Almost surely, 2122002022102121 is an apocalyptic number.

It is an amenable number.

122002022102121 is a deficient number, since it is larger than the sum of its proper divisors (79811694115863).

122002022102121 is a wasteful number, since it uses less digits than its factorization.

122002022102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976468741 (or 3976468738 counting only the distinct ones).

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

Adding to 122002022102121 its reverse (121201220200221), we get a palindrome (243203242302342).

The spelling of 122002022102121 in words is "one hundred twenty-two trillion, two billion, twenty-two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 487 1461 3409 4383 10227 30681 3976468241 11929404723 27835277687 35788214169 83505833061 250517499183 1936540033367 5809620100101 13555780233569 17428860300303 40667340700707 122002022102121