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121221111220110 = 233511432693528589
BaseRepresentation
bin11011100011111111111101…
…010001100000011110001110
3120220012121212122222020121000
4123203333331101200132032
5111342041313433020420
61105452113144121130
734350636066250656
oct3343777521403616
9526177778866530
10121221111220110
1135696648068450
1211719568a661a6
13528414269aca5
1421d11c129d366
15e0338c90c690
hex6e3ffd46078e

121221111220110 has 256 divisors, whose sum is σ = 362185769088000. Its totient is φ = 28596806300160.

The previous prime is 121221111219977. The next prime is 121221111220129. The reversal of 121221111220110 is 11022111122121.

It is a happy number.

121221111220110 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 111 + 220 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32589696 + ... + 36118284.

It is an arithmetic number, because the mean of its divisors is an integer number (1414788160500).

Almost surely, 2121221111220110 is an apocalyptic number.

121221111220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221111220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181092884544000).

121221111220110 is an abundant number, since it is smaller than the sum of its proper divisors (240964657867890).

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

121221111220110 is a wasteful number, since it uses less digits than its factorization.

121221111220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528928 (or 3528922 counting only the distinct ones).

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

Adding to 121221111220110 its reverse (11022111122121), we get a palindrome (132243222342231).

The spelling of 121221111220110 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty thousand, one hundred ten".