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121012111102212 = 22321141467145910939
BaseRepresentation
bin11011100000111101010011…
…111001010101000100000100
3120212110122102002101012100200
4123200331103321111010010
5111330130300420232322
61105212110230210500
734326556631462121
oct3340752371250404
9525418362335320
10121012111102212
1135615a47a35490
12116a4b5b1b3a30
13526a515889c85
1421c5035b75748
15decc092868ac
hex6e0f53e55104

121012111102212 has 288 divisors, whose sum is σ = 342837215884800. Its totient is φ = 35671600627200.

The previous prime is 121012111102189. The next prime is 121012111102213. The reversal of 121012111102212 is 212201111210121.

It is a happy number.

121012111102212 is a `hidden beast` number, since 1 + 210 + 121 + 1 + 110 + 221 + 2 = 666.

It is a super-2 number, since 2×1210121111022122 (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 not an unprimeable number, because it can be changed into a prime (121012111102213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11062441839 + ... + 11062452777.

It is an arithmetic number, because the mean of its divisors is an integer number (1190406999600).

Almost surely, 2121012111102212 is an apocalyptic number.

121012111102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121012111102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171418607942400).

121012111102212 is an abundant number, since it is smaller than the sum of its proper divisors (221825104782588).

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

121012111102212 is a wasteful number, since it uses less digits than its factorization.

121012111102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121012111102212 its reverse (212201111210121), we get a palindrome (333213222312333).

The spelling of 121012111102212 in words is "one hundred twenty-one trillion, twelve billion, one hundred eleven million, one hundred two thousand, two hundred twelve".