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122211223330140 = 2236571747168539
BaseRepresentation
bin11011110010011010000100…
…100011011101110101011100
3121000201021112021120211000000
4123302122010203131311130
5112004302041133031030
61111531021054534300
734512320020315320
oct3362320443356534
9530637467524000
10122211223330140
1135a3854159124a
121185942b507390
13532661326cc59
1422270aa407980
15e1dedb05d860
hex6f26848ddd5c

122211223330140 has 336 divisors, whose sum is σ = 439790820618240. Its totient is φ = 27931987486080.

The previous prime is 122211223330121. The next prime is 122211223330169. The reversal of 122211223330140 is 41033322112221.

122211223330140 is a `hidden beast` number, since 1 + 222 + 112 + 23 + 3 + 301 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1783055991 + ... + 1783124529.

It is an arithmetic number, because the mean of its divisors is an integer number (1308901251840).

Almost surely, 2122211223330140 is an apocalyptic number.

122211223330140 is a gapful number since it is divisible by the number (10) 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 122211223330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219895410309120).

122211223330140 is an abundant number, since it is smaller than the sum of its proper divisors (317579597288100).

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

122211223330140 is a wasteful number, since it uses less digits than its factorization.

122211223330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86044 (or 86027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122211223330140 its reverse (41033322112221), we get a palindrome (163244545442361).

The spelling of 122211223330140 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-three million, three hundred thirty thousand, one hundred forty".