Search a number
-
+
121222022110000 = 2454731199280717
BaseRepresentation
bin11011100100000000110011…
…100100010001101100110000
3120220012201020010222020121121
4123210000303210101230300
5111342100200130010000
61105452343403432024
734351000466553430
oct3344006344215460
9526181203866547
10121222022110000
1135696a75258509
1211719781b25614
1352842593082a6
1421d126a2522c0
15e033e288ab1a
hex6e4033911b30

121222022110000 has 400 divisors, whose sum is σ = 347978931097600. Its totient is φ = 40018872960000.

The previous prime is 121222022109911. The next prime is 121222022110001. The reversal of 121222022110000 is 11220222121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121222022110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431689642 + ... + 431970358.

It is an arithmetic number, because the mean of its divisors is an integer number (869947327744).

Almost surely, 2121222022110000 is an apocalyptic number.

121222022110000 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 121222022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173989465548800).

121222022110000 is an abundant number, since it is smaller than the sum of its proper divisors (226756908987600).

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

121222022110000 is a wasteful number, since it uses less digits than its factorization.

121222022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280982 (or 280961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121222022110000 its reverse (11220222121), we get a palindrome (121233242332121).

The spelling of 121222022110000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred ten thousand".