Search a number
-
+
120001022220 = 223517739159199
BaseRepresentation
bin110111111000010011…
…1100100100100001100
3102110202002002112201110
41233300213210210030
53431230230202340
6131043330212020
711445510600432
oct1576047444414
9373662075643
10120001022220
114698a4a3132
121b310124010
13b415484731
145b45530d52
1531c5108680
hex1bf09e490c

120001022220 has 96 divisors (see below), whose sum is σ = 356251392000. Its totient is φ = 30076959744.

The previous prime is 120001022201. The next prime is 120001022231. The reversal of 120001022220 is 22220100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120001022196 and 120001022205.

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, 674181 + ... + 833379.

It is an arithmetic number, because the mean of its divisors is an integer number (3710952000).

Almost surely, 2120001022220 is an apocalyptic number.

120001022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125696000).

120001022220 is an abundant number, since it is smaller than the sum of its proper divisors (236250369780).

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

120001022220 is a wasteful number, since it uses less digits than its factorization.

120001022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159967 (or 159965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120001022220 its reverse (22220100021), we get a palindrome (142221122241).

The spelling of 120001022220 in words is "one hundred twenty billion, one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 739 1020 1478 2217 2956 3695 4434 7390 8868 11085 12563 14780 22170 25126 37689 44340 50252 62815 75378 125630 150756 159199 188445 251260 318398 376890 477597 636796 753780 795995 955194 1591990 1910388 2387985 2706383 3183980 4775970 5412766 8119149 9551940 10825532 13531915 16238298 27063830 32476596 40595745 54127660 81191490 117648061 162382980 235296122 352944183 470592244 588240305 705888366 1176480610 1411776732 1764720915 2000017037 2352961220 3529441830 4000034074 6000051111 7058883660 8000068148 10000085185 12000102222 20000170370 24000204444 30000255555 40000340740 60000511110 120001022220