Search a number
-
+
121220012210000 = 2454111995537689
BaseRepresentation
bin11011100011111110111011…
…110001000111011101010000
3120220012112001001222202010212
4123203332323301013131100
5111342032041111210000
61105451412124343252
734350566622646604
oct3343767361073520
9526175031882125
10121220012210000
1135696133769930
12117193009a4b28
135283cc8aa5a52
1421d111933b504
15e033261bec35
hex6e3fbbc47750

121220012210000 has 200 divisors, whose sum is σ = 321775230216000. Its totient is φ = 43858488960000.

The previous prime is 121220012209997. The next prime is 121220012210051. The reversal of 121220012210000 is 12210022121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19121156 + ... + 24658844.

It is an arithmetic number, because the mean of its divisors is an integer number (1608876151080).

Almost surely, 2121220012210000 is an apocalyptic number.

121220012210000 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 121220012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160887615108000).

121220012210000 is an abundant number, since it is smaller than the sum of its proper divisors (200555218006000).

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

121220012210000 is a wasteful number, since it uses less digits than its factorization.

121220012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537927 (or 5537906 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121220012210000 its reverse (12210022121), we get a palindrome (121232222232121).

The spelling of 121220012210000 in words is "one hundred twenty-one trillion, two hundred twenty billion, twelve million, two hundred ten thousand".