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121221202122 = 232371011802117
BaseRepresentation
bin111000011100101011…
…0001100000011001010
3102120220010002002212200
41300321112030003022
53441230111431442
6131404355021030
711520655134306
oct1607126140312
9376803062780
10121221202122
1147456232379
121b5b089a776
13b57b1c3187
145c1d5d4d06
1532472cd34c
hex1c3958c0ca

121221202122 has 48 divisors (see below), whose sum is σ = 272415365352. Its totient is φ = 38925705600.

The previous prime is 121221202121. The next prime is 121221202169. The reversal of 121221202122 is 221202122121.

It is a happy number.

121221202122 is a `hidden beast` number, since 121 + 221 + 202 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115171318161 + 6049883961 = 339369^2 + 77781^2 .

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 = 121221202095 and 121221202104.

It is not an unprimeable number, because it can be changed into a prime (121221202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833793 + ... + 968324.

Almost surely, 2121221202122 is an apocalyptic number.

121221202122 is an abundant number, since it is smaller than the sum of its proper divisors (151194163230).

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

121221202122 is a wasteful number, since it uses less digits than its factorization.

121221202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802263 (or 1802260 counting only the distinct ones).

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

Adding to 121221202122 its reverse (221202122121), we get a palindrome (342423324243).

It can be divided in two parts, 121 and 221202122, that multiplied together give a palindrome (26765456762).

The spelling of 121221202122 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 1802117 3604234 5406351 10812702 16219053 32438106 66678329 133356658 182013817 200034987 364027634 400069974 546041451 600104961 1092082902 1200209922 1638124353 3276248706 6734511229 13469022458 20203533687 40407067374 60610601061 121221202122