Search a number
-
+
122240020212 = 2234794775747
BaseRepresentation
bin111000111011000010…
…0101010111011110100
3102200112010011102120000
41301312010222323310
54000321421121322
6132053431511300
711555136012402
oct1616604527364
9380463142500
10122240020212
11479293394a2
121b835b28530
13b6b12bb80b
145cb8a40472
1532a697a3ac
hex1c7612aef4

122240020212 has 60 divisors (see below), whose sum is σ = 323604684480. Its totient is φ = 40230884304.

The previous prime is 122240020211. The next prime is 122240020237. The reversal of 122240020212 is 212020042221.

122240020212 is a `hidden beast` number, since 1 + 222 + 400 + 20 + 21 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240020211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2362278 + ... + 2413469.

It is an arithmetic number, because the mean of its divisors is an integer number (5393411408).

Almost surely, 2122240020212 is an apocalyptic number.

122240020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122240020212 is an abundant number, since it is smaller than the sum of its proper divisors (201364664268).

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

122240020212 is a wasteful number, since it uses less digits than its factorization.

122240020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775842 (or 4775831 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122240020212 its reverse (212020042221), we get a palindrome (334260062433).

The spelling of 122240020212 in words is "one hundred twenty-two billion, two hundred forty million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 6399 8532 12798 25596 4775747 9551494 14327241 19102988 28654482 42981723 57308964 85963446 128945169 171926892 257890338 377284013 386835507 515780676 754568026 773671014 1131852039 1509136052 1547342028 2263704078 3395556117 4527408156 6791112234 10186668351 13582224468 20373336702 30560005053 40746673404 61120010106 122240020212