Search a number
-
+
121122211200200 = 23527833067339863
BaseRepresentation
bin11011100010100011110110…
…010111110111110011001000
3120212212011121011010200100122
4123202203312113313303020
5111333431242031401300
61105334435313322412
734340535210043340
oct3342436627676310
9525764534120318
10121122211200200
1135658706633701
1211702367566408
135277a10a33152
1421ca4bc373d20
15e00a00052c85
hex6e28f65f7cc8

121122211200200 has 192 divisors, whose sum is σ = 325823755944960. Its totient is φ = 41013784869120.

The previous prime is 121122211200169. The next prime is 121122211200217. The reversal of 121122211200200 is 2002112221121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356215469 + ... + 356555331.

It is an arithmetic number, because the mean of its divisors is an integer number (1696998728880).

Almost surely, 2121122211200200 is an apocalyptic number.

121122211200200 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 121122211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162911877972480).

121122211200200 is an abundant number, since it is smaller than the sum of its proper divisors (204701544744760).

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

121122211200200 is a wasteful number, since it uses less digits than its factorization.

121122211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343036 (or 343027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121122211200200 its reverse (2002112221121), we get a palindrome (123124323421321).

The spelling of 121122211200200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred thousand, two hundred".