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120212221221 = 321071274392239
BaseRepresentation
bin110111111110100110…
…1001110110100100101
3102111021210111120021200
41233331031032310211
53432143312034341
6131120313033113
711453654010111
oct1577515166445
9374253446250
10120212221221
1146a88735064
121b36a9b5799
13b44a160261
145b655ca741
1531d8925db6
hex1bfd34ed25

120212221221 has 48 divisors (see below), whose sum is σ = 177124147200. Its totient is φ = 78552833184.

The previous prime is 120212221169. The next prime is 120212221231. The reversal of 120212221221 is 122122212021.

It is a happy number.

120212221221 is a `hidden beast` number, since 12 + 0 + 212 + 221 + 221 = 666.

It is not a de Polignac number, because 120212221221 - 213 = 120212213029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120212221194 and 120212221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212221231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53689020 + ... + 53691258.

It is an arithmetic number, because the mean of its divisors is an integer number (3690086400).

Almost surely, 2120212221221 is an apocalyptic number.

It is an amenable number.

120212221221 is a deficient number, since it is larger than the sum of its proper divisors (56911925979).

120212221221 is a wasteful number, since it uses less digits than its factorization.

120212221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2915 counting only the distinct ones).

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

Adding to 120212221221 its reverse (122122212021), we get a palindrome (242334433242).

The spelling of 120212221221 in words is "one hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 107 127 321 381 439 963 1143 1317 2239 3951 6717 13589 20151 40767 46973 55753 122301 140919 167259 239573 284353 422757 501777 718719 853059 982921 2156157 2559177 2948763 5965571 8846289 17896713 30425771 53690139 91277313 105172547 124830967 273831939 315517641 374492901 946552923 1123478703 13356913469 40070740407 120212221221