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121220222112 = 25341171233257
BaseRepresentation
bin111000011100101001…
…0011100110010100000
3102120220001020022120000
41300321102130302200
53441224334101422
6131404322020000
711520643613163
oct1607122346240
9376801208500
10121220222112
1147455723050
121b5b04a7600
13b57ac3c0a2
145c1d41bada
153247187cac
hex1c3949cca0

121220222112 has 480 divisors, whose sum is σ = 397626413184. Its totient is φ = 35920281600.

The previous prime is 121220222059. The next prime is 121220222113. The reversal of 121220222112 is 211222022121.

It is a happy number.

It is a super-2 number, since 2×1212202221122 (a number of 23 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 (121220222113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 471673888 + ... + 471674144.

Almost surely, 2121220222112 is an apocalyptic number.

121220222112 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 121220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198813206592).

121220222112 is an abundant number, since it is smaller than the sum of its proper divisors (276406191072).

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

121220222112 is a wasteful number, since it uses less digits than its factorization.

121220222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

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

Adding to 121220222112 its reverse (211222022121), we get a palindrome (332442244233).

Subtracting 121220222112 from its reverse (211222022121), we obtain a square (90001800009 = 3000032).

The spelling of 121220222112 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".