Search a number
-
+
122222112000201 = 32239253922379309
BaseRepresentation
bin11011110010100100001101…
…100100011100100011001001
3121000202022122010112120021100
4123302210031210130203021
5112004441341133001301
61111540021344532013
734513153605430143
oct3362441544344311
9530668563476240
10122222112000201
1135a4211999a224
121185b56a021009
13532765a0b7aa5
1422278205b7c93
15e1e426e5b286
hex6f290d91c8c9

122222112000201 has 24 divisors (see below), whose sum is σ = 177351555888000. Its totient is φ = 81108520329312.

The previous prime is 122222112000199. The next prime is 122222112000257. The reversal of 122222112000201 is 102000211222221.

It is a happy number.

122222112000201 is a `hidden beast` number, since 1 + 222 + 221 + 1 + 20 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 122222112000201 - 21 = 122222112000199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122222112000301) 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, 5728266 + ... + 16651043.

It is an arithmetic number, because the mean of its divisors is an integer number (7389648162000).

Almost surely, 2122222112000201 is an apocalyptic number.

It is an amenable number.

122222112000201 is a deficient number, since it is larger than the sum of its proper divisors (55129443887799).

122222112000201 is a wasteful number, since it uses less digits than its factorization.

122222112000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22382093 (or 22382090 counting only the distinct ones).

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

Adding to 122222112000201 its reverse (102000211222221), we get a palindrome (224222323222422).

The spelling of 122222112000201 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twelve million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 239 717 2151 2539 7617 22851 606821 1820463 5461389 22379309 67137927 201413781 5348654851 16045964553 48137893659 56821065551 170463196653 511389589959 13580234666689 40740704000067 122222112000201