Search a number
-
+
122021121330 = 2335736190823
BaseRepresentation
bin111000110100100000…
…1101000110100110010
3102122221212021012202000
41301221001220310302
53444344401340310
6132020012034430
711546540263263
oct1615101506462
9378855235660
10122021121330
1147826818529
121b794762a16
13b677b48354
145c9793c96a
15329263b4c0
hex1c69068d32

122021121330 has 64 divisors (see below), whose sum is σ = 329847102720. Its totient is φ = 32093221248.

The previous prime is 122021121319. The next prime is 122021121359. The reversal of 122021121330 is 33121120221.

122021121330 is a `hidden beast` number, since 1 + 220 + 2 + 112 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075702 + ... + 3115121.

It is an arithmetic number, because the mean of its divisors is an integer number (5153860980).

Almost surely, 2122021121330 is an apocalyptic number.

122021121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122021121330 is an abundant number, since it is smaller than the sum of its proper divisors (207825981390).

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

122021121330 is a wasteful number, since it uses less digits than its factorization.

122021121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190912 (or 6190906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122021121330 its reverse (33121120221), we get a palindrome (155142241551).

The spelling of 122021121330 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 19710 6190823 12381646 18572469 30954115 37144938 55717407 61908230 92862345 111434814 167152221 185724690 278587035 334304442 451930079 557174070 835761105 903860158 1355790237 1671522210 2259650395 2711580474 4067370711 4519300790 6778951185 8134741422 12202112133 13557902370 20336853555 24404224266 40673707110 61010560665 122021121330