Search a number
-
+
122121214160 = 24511138774107
BaseRepresentation
bin111000110111011111…
…1011101100011010000
3102200012211121110021212
41301232333131203100
54000101012323120
6132033545235252
711552164123151
oct1615677354320
9380184543255
10122121214160
1147878272780
121b802192b28
13b6927c218a
145ca6d55928
15329b30d6c5
hex1c6efdd8d0

122121214160 has 40 divisors (see below), whose sum is σ = 309743809056. Its totient is φ = 44407713920.

The previous prime is 122121214153. The next prime is 122121214169. The reversal of 122121214160 is 61412121221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121214169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69386174 + ... + 69387933.

Almost surely, 2122121214160 is an apocalyptic number.

122121214160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121214160 is an abundant number, since it is smaller than the sum of its proper divisors (187622594896).

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

122121214160 is a wasteful number, since it uses less digits than its factorization.

122121214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138774131 (or 138774125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 122121214160 its reverse (61412121221), we get a palindrome (183533335381).

The spelling of 122121214160 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 138774107 277548214 555096428 693870535 1110192856 1387741070 1526515177 2220385712 2775482140 3053030354 5550964280 6106060708 7632575885 11101928560 12212121416 15265151770 24424242832 30530303540 61060607080 122121214160