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120220221100212 = 2232131233109407679
BaseRepresentation
bin11011010101011011110011…
…100100101101000010110100
3120202122221101220122001011100
4123111123303210231002310
5111224142003100201322
61103404223535210100
734215424102513122
oct3325336344550264
9522587356561140
10120220221100212
1135340122749282
1211597598976930
135210944b87bac
14219899294c912
15dd730ce6bdac
hex6d56f392d0b4

120220221100212 has 72 divisors (see below), whose sum is σ = 307523982205440. Its totient is φ = 39596826821760.

The previous prime is 120220221100171. The next prime is 120220221100241. The reversal of 120220221100212 is 212001122022021.

It is a happy number.

120220221100212 is a `hidden beast` number, since 1 + 2 + 0 + 220 + 221 + 10 + 0 + 212 = 666.

It is a super-2 number, since 2×1202202211002122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53605012 + ... + 55802667.

It is an arithmetic number, because the mean of its divisors is an integer number (4271166419520).

Almost surely, 2120220221100212 is an apocalyptic number.

120220221100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120220221100212 is an abundant number, since it is smaller than the sum of its proper divisors (187303761105228).

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

120220221100212 is a wasteful number, since it uses less digits than its factorization.

120220221100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109408053 (or 109408048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120220221100212 its reverse (212001122022021), we get a palindrome (332221343122233).

The spelling of 120220221100212 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 233 262 393 466 524 699 786 932 1179 1398 1572 2097 2358 2796 4194 4716 8388 30523 61046 91569 122092 183138 274707 366276 549414 1098828 109407679 218815358 328223037 437630716 656446074 984669111 1312892148 1969338222 3938676444 14332405949 25491989207 28664811898 42997217847 50983978414 57329623796 76475967621 85994435694 101967956828 128991653541 152951935242 171988871388 229427902863 257983307082 305903870484 458855805726 515966614164 917711611452 3339450586117 6678901172234 10018351758351 13357802344468 20036703516702 30055055275053 40073407033404 60110110550106 120220221100212