Search a number
-
+
112000122102000 = 24353111720798621
BaseRepresentation
bin11001011101110100001111…
…011111100010000011110000
3112200120002220002011001112110
4121131310033133202003300
5104140002222224231000
61034112051253525320
732406512302052256
oct3135641737420360
9480502802131473
10112000122102000
1132760a920a9020
121068a45a343840
134a65748c17422
141d92b98ad65d6
15ce35a82ad850
hex65dd0f7e20f0

112000122102000 has 320 divisors, whose sum is σ = 393941498416128. Its totient is φ = 27149691520000.

The previous prime is 112000122101983. The next prime is 112000122102031. The reversal of 112000122102000 is 201221000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1135612690 + ... + 1135711310.

Almost surely, 2112000122102000 is an apocalyptic number.

112000122102000 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 112000122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196970749208064).

112000122102000 is an abundant number, since it is smaller than the sum of its proper divisors (281941376314128).

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

112000122102000 is a wasteful number, since it uses less digits than its factorization.

112000122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115865 (or 115849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112000122102000 its reverse (201221000211), we get a palindrome (112201343102211).

The spelling of 112000122102000 in words is "one hundred twelve trillion, one hundred twenty-two million, one hundred two thousand".