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121221120222 = 23259157829877
BaseRepresentation
bin111000011100101010…
…1111000000011011110
3102120220002220221112100
41300321111320003132
53441230101321342
6131404353145530
711520654343446
oct1607125700336
9376802827470
10121221120222
1147456186894
121b5b085b2a6
13b57b194b07
145c1d5b3126
1532472b3e4c
hex1c395780de

121221120222 has 96 divisors (see below), whose sum is σ = 269429752800. Its totient is φ = 39376606464.

The previous prime is 121221120203. The next prime is 121221120233. The reversal of 121221120222 is 222021122121.

It is a happy number.

121221120222 is a `hidden beast` number, since 1 + 212 + 211 + 20 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121221120195 and 121221120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138222048 + ... + 138222924.

It is an arithmetic number, because the mean of its divisors is an integer number (2806559925).

Almost surely, 2121221120222 is an apocalyptic number.

121221120222 is an abundant number, since it is smaller than the sum of its proper divisors (148208632578).

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

121221120222 is a wasteful number, since it uses less digits than its factorization.

121221120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1927 counting only the distinct ones).

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

Adding to 121221120222 its reverse (222021122121), we get a palindrome (343242242343).

The spelling of 121221120222 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 157 177 314 354 471 531 829 877 942 1062 1413 1658 1754 2487 2631 2826 4974 5262 7461 7893 9263 14922 15786 18526 27789 48911 51743 55578 83367 97822 103486 130153 137689 146733 155229 166734 260306 275378 293466 310458 390459 413067 440199 465687 727033 780918 826134 880398 931374 1171377 1239201 1454066 2181099 2342754 2478402 4362198 6543297 7679027 8123651 13086594 15358054 16247302 23037081 24370953 42894947 46074162 48741906 69111243 73112859 85789894 114144181 128684841 138222486 146225718 228288362 257369682 342432543 386054523 684865086 772109046 1027297629 2054595258 6734506679 13469013358 20203520037 40407040074 60610560111 121221120222