Search a number
-
+
121310211030000 = 2435410760676229
BaseRepresentation
bin11011100101010010111100…
…000010010011101111110000
3120220112010212011222120000220
4123211102330002103233300
5111400021303010430000
61110001050330213040
734360242055164366
oct3345227402235760
9526463764876026
10121310211030000
113572040a637373
1211732894284180
13528c671b5b1a5
1421d56347d1636
15e05854c211a0
hex6e54bc093bf0

121310211030000 has 400 divisors, whose sum is σ = 395394016913280. Its totient is φ = 32036632704000.

The previous prime is 121310211029971. The next prime is 121310211030037. The reversal of 121310211030000 is 30112013121.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19475066886 + ... + 19475073114.

Almost surely, 2121310211030000 is an apocalyptic number.

121310211030000 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 121310211030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197697008456640).

121310211030000 is an abundant number, since it is smaller than the sum of its proper divisors (274083805883280).

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

121310211030000 is a wasteful number, since it uses less digits than its factorization.

121310211030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121310211030000 its reverse (30112013121), we get a palindrome (121340323043121).

The spelling of 121310211030000 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred eleven million, thirty thousand".