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112002202212120 = 233351116195823221
BaseRepresentation
bin11001011101110110001011…
…011110100001011100011000
3112200120022021001020121012000
4121131312023132201130120
5104140021002231241440
61034113033521521000
732406614660516253
oct3135661336413430
9480508231217160
10112002202212120
113276195a2915a0
121068a93aaa3160
134a659bab6000c
141d92d1508609a
15ce367abe7730
hex65dd8b7a1718

112002202212120 has 256 divisors, whose sum is σ = 407532368448000. Its totient is φ = 27135273484800.

The previous prime is 112002202212023. The next prime is 112002202212137. The reversal of 112002202212120 is 21212202200211.

It is a happy number.

112002202212120 is a `hidden beast` number, since 1 + 1 + 200 + 220 + 221 + 2 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112002202212093 and 112002202212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16322110 + ... + 22145330.

It is an arithmetic number, because the mean of its divisors is an integer number (1591923314250).

Almost surely, 2112002202212120 is an apocalyptic number.

112002202212120 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 112002202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203766184224000).

112002202212120 is an abundant number, since it is smaller than the sum of its proper divisors (295530166235880).

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

112002202212120 is a wasteful number, since it uses less digits than its factorization.

112002202212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824871 (or 5824861 counting only the distinct ones).

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

Adding to 112002202212120 its reverse (21212202200211), we get a palindrome (133214404412331).

The spelling of 112002202212120 in words is "one hundred twelve trillion, two billion, two hundred two million, two hundred twelve thousand, one hundred twenty".