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122121010212 = 2231753131151571
BaseRepresentation
bin111000110111011111…
…0101011110000100100
3102200012211020002112020
41301232332223300210
54000100434311322
6132033541023140
711552162313435
oct1615676536044
9380184202466
10122121010212
1147878143523
121b8020b4ab0
13b6927503b6
145ca6d0148c
15329b2bd05c
hex1c6efabc24

122121010212 has 192 divisors, whose sum is σ = 312347363328. Its totient is φ = 36990720000.

The previous prime is 122121010201. The next prime is 122121010217. The reversal of 122121010212 is 212010121221.

It is a super-2 number, since 2×1221210102122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121010191 and 122121010200.

It is not an unprimeable number, because it can be changed into a prime (122121010217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213871887 + ... + 213872457.

It is an arithmetic number, because the mean of its divisors is an integer number (1626809184).

Almost surely, 2122121010212 is an apocalyptic number.

122121010212 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 122121010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156173681664).

122121010212 is an abundant number, since it is smaller than the sum of its proper divisors (190226353116).

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

122121010212 is a wasteful number, since it uses less digits than its factorization.

122121010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122121010212 its reverse (212010121221), we get a palindrome (334131131433).

The spelling of 122121010212 in words is "one hundred twenty-two billion, one hundred twenty-one million, ten thousand, two hundred twelve".