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121221112212 = 22323791006841
BaseRepresentation
bin111000011100101010…
…1110110000110010100
3102120220002220112112200
41300321111312012110
53441230101042322
6131404353044500
711520654311214
oct1607125660624
9376802815480
10121221112212
1147456180872
121b5b0856730
13b57b191285
145c1d5b0244
1532472b18ac
hex1c39576194

121221112212 has 36 divisors (see below), whose sum is σ = 314701659636. Its totient is φ = 39314954880.

The previous prime is 121221112211. The next prime is 121221112267. The reversal of 121221112212 is 212211122121.

121221112212 is a `hidden beast` number, since 121 + 221 + 112 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89751771396 + 31469340816 = 299586^2 + 177396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221112211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45502089 + ... + 45504752.

Almost surely, 2121221112212 is an apocalyptic number.

121221112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121221112212 is an abundant number, since it is smaller than the sum of its proper divisors (193480547424).

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

121221112212 is a wasteful number, since it uses less digits than its factorization.

121221112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91006888 (or 91006883 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 121221112212 its reverse (212211122121), we get a palindrome (333432234333).

Subtracting 121221112212 from its reverse (212211122121), we obtain a palindrome (90990009909).

The spelling of 121221112212 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 91006841 182013682 273020523 364027364 546041046 819061569 1092082092 1638123138 3276246276 3367253117 6734506234 10101759351 13469012468 20203518702 30305278053 40407037404 60610556106 121221112212