Search a number
-
+
122034112122 = 23132313882233
BaseRepresentation
bin111000110100111001…
…1001100011001111010
3102122222202201012202110
41301221303030121322
53444411213041442
6132021154313150
711550055560306
oct1615163143172
9378882635673
10122034112122
114783309071a
121b798b887b6
13b67a746300
145c99560d06
15329385569c
hex1c69ccc67a

122034112122 has 48 divisors (see below), whose sum is σ = 272812347648. Its totient is φ = 36337691520.

The previous prime is 122034112093. The next prime is 122034112127. The reversal of 122034112122 is 221211430221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122034112127) 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, 1909683 + ... + 1972550.

It is an arithmetic number, because the mean of its divisors is an integer number (5683590576).

Almost surely, 2122034112122 is an apocalyptic number.

122034112122 is an abundant number, since it is smaller than the sum of its proper divisors (150778235526).

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

122034112122 is a wasteful number, since it uses less digits than its factorization.

122034112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882295 (or 3882282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122034112122 its reverse (221211430221), we get a palindrome (343245542343).

The spelling of 122034112122 in words is "one hundred twenty-two billion, thirty-four million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5239 10478 15717 31434 3882233 7764466 11646699 23293398 50469029 100938058 120349223 151407087 240698446 302814174 361047669 656097377 722095338 1312194754 1564539899 1968292131 3129079798 3936584262 4693619697 9387239394 20339018687 40678037374 61017056061 122034112122