Search a number
-
+
122421111200 = 2552153026389
BaseRepresentation
bin111001000000011011…
…1011110100110100000
3102200222201220210200122
41302000313132212200
54001204301024300
6132123421135412
711562465163433
oct1620067364640
9380881823618
10122421111200
1147a11586873
121b8866ba568
13b70c98514b
145cd4add81a
1532b77ebc85
hex1c80dde9a0

122421111200 has 36 divisors (see below), whose sum is σ = 298860539670. Its totient is φ = 48968444160.

The previous prime is 122421111199. The next prime is 122421111203. The reversal of 122421111200 is 2111124221.

It can be written as a sum of positive squares in 3 ways, for example, as 82624053136 + 39797058064 = 287444^2 + 199492^2 .

It is not an unprimeable number, because it can be changed into a prime (122421111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76512395 + ... + 76513994.

Almost surely, 2122421111200 is an apocalyptic number.

122421111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122421111200 is an abundant number, since it is smaller than the sum of its proper divisors (176439428470).

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

122421111200 is a wasteful number, since it uses less digits than its factorization.

122421111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153026409 (or 153026396 counting only the distinct ones).

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

Adding to 122421111200 its reverse (2111124221), we get a palindrome (124532235421).

The spelling of 122421111200 in words is "one hundred twenty-two billion, four hundred twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 153026389 306052778 612105556 765131945 1224211112 1530263890 2448422224 3060527780 3825659725 4896844448 6121055560 7651319450 12242111120 15302638900 24484222240 30605277800 61210555600 122421111200