Search a number
-
+
122415430212 = 223215728037727
BaseRepresentation
bin111001000000010000…
…1110011101001000100
3102200222100020011211200
41302000201303221010
54001201322231322
6132123055302500
711562365662665
oct1620041635104
9380870204750
10122415430212
1147a09356639
121b88481aa30
13b70b74640a
145cd406136c
1532b70788ac
hex1c80873a44

122415430212 has 72 divisors (see below), whose sum is σ = 311561367936. Its totient is φ = 40525527744.

The previous prime is 122415430177. The next prime is 122415430213. The reversal of 122415430212 is 212034514221.

122415430212 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 15 + 430 + 212 = 666.

It is not an unprimeable number, because it can be changed into a prime (122415430213) 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, 15838693 + ... + 15846419.

Almost surely, 2122415430212 is an apocalyptic number.

122415430212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122415430212 is an abundant number, since it is smaller than the sum of its proper divisors (189145937724).

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

122415430212 is a wasteful number, since it uses less digits than its factorization.

122415430212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122415430212 its reverse (212034514221), we get a palindrome (334449944433).

The spelling of 122415430212 in words is "one hundred twenty-two billion, four hundred fifteen million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2803 2826 5606 5652 7727 8409 11212 15454 16818 23181 25227 30908 33636 46362 50454 69543 92724 100908 139086 278172 440071 880142 1213139 1320213 1760284 2426278 2640426 3639417 3960639 4852556 5280852 7278834 7921278 10918251 14557668 15842556 21658781 21836502 43317562 43673004 64976343 86635124 129952686 194929029 259905372 389858058 779716116 3400428617 6800857234 10201285851 13601714468 20402571702 30603857553 40805143404 61207715106 122415430212