Search a number
-
+
121001222313000 = 233253109123344773
BaseRepresentation
bin11011100000110011001010…
…110111111001010000101000
3120212102121022020012101122100
4123200303022313321100220
5111324441000403004000
61105203105533453400
734326023042343021
oct3340631267712050
9525377266171570
10121001222313000
113561136a555a37
12116a2a20641260
13526949b9ccb33
1421c46c1973c48
15dec7bd363a00
hex6e0ccadf9428

121001222313000 has 192 divisors, whose sum is σ = 412736282758800. Its totient is φ = 31970964902400.

The previous prime is 121001222312959. The next prime is 121001222313031. The reversal of 121001222313000 is 313222100121.

121001222313000 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 122 + 231 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 184149123876 + 120817073189124 = 429126^2 + 10991682^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60691387 + ... + 62653386.

Almost surely, 2121001222313000 is an apocalyptic number.

121001222313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001222313000 is an abundant number, since it is smaller than the sum of its proper divisors (291735060445800).

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

121001222313000 is a wasteful number, since it uses less digits than its factorization.

121001222313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123344909 (or 123344892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121001222313000 its reverse (313222100121), we get a palindrome (121314444413121).

The spelling of 121001222313000 in words is "one hundred twenty-one trillion, one billion, two hundred twenty-two million, three hundred thirteen thousand".