Search a number
-
+
12021001210200 = 23352377133123041
BaseRepresentation
bin1010111011101101101110…
…0000011100100101011000
31120120012022020120010020110
42232323123200130211120
53033423002302211300
641322212142524320
72350326421240413
oct256733340344530
946505266503213
1012021001210200
113915094883974
121421900b966a0
13692763639498
142d7b68c48b7a
1515ca61a0b550
hexaeedb81c958

12021001210200 has 384 divisors, whose sum is σ = 38930259018240. Its totient is φ = 3065610240000.

The previous prime is 12021001210177. The next prime is 12021001210261. The reversal of 12021001210200 is 201210012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 521710680 + ... + 521733720.

It is an arithmetic number, because the mean of its divisors is an integer number (101380882860).

Almost surely, 212021001210200 is an apocalyptic number.

12021001210200 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 12021001210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465129509120).

12021001210200 is an abundant number, since it is smaller than the sum of its proper divisors (26909257808040).

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

12021001210200 is a wasteful number, since it uses less digits than its factorization.

12021001210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23499 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021001210200 its reverse (201210012021), we get a palindrome (12222211222221).

The spelling of 12021001210200 in words is "twelve trillion, twenty-one billion, one million, two hundred ten thousand, two hundred".