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120220222221 = 331112714921391
BaseRepresentation
bin110111111110110101…
…1110000001100001101
3102111022100120001121000
41233331223300030031
53432202334102341
6131121200330513
711454112012461
oct1577553601415
9374270501530
10120220222221
1146a921aa360
121b371613a39
13b44ba01c88
145b666b04a1
1531d94a68b6
hex1bfdaf030d

120220222221 has 64 divisors (see below), whose sum is σ = 197148672000. Its totient is φ = 71798529600.

The previous prime is 120220222189. The next prime is 120220222231. The reversal of 120220222221 is 122222022021.

120220222221 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 222 + 221 = 666.

It is not a de Polignac number, because 120220222221 - 25 = 120220222189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120220222194 and 120220222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220222231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5609436 + ... + 5630826.

It is an arithmetic number, because the mean of its divisors is an integer number (3080448000).

Almost surely, 2120220222221 is an apocalyptic number.

120220222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120220222221 is a deficient number, since it is larger than the sum of its proper divisors (76928449779).

120220222221 is a wasteful number, since it uses less digits than its factorization.

120220222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21687 (or 21681 counting only the distinct ones).

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

Adding to 120220222221 its reverse (122222022021), we get a palindrome (242442244242).

The spelling of 120220222221 in words is "one hundred twenty billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 127 149 297 381 447 1143 1341 1397 1639 3429 4023 4191 4917 12573 14751 18923 21391 37719 44253 56769 64173 170307 192519 208153 235301 510921 577557 624459 705903 1873377 2117709 2716657 3187259 5620131 6353127 8149971 9561777 24449913 28685331 29883227 35059849 73349739 86055993 89649681 105179547 268949043 315538641 404781893 806847129 946615923 1214345679 3643037037 4452600823 10929111111 13357802469 40073407407 120220222221