Search a number
-
+
1211200002000 = 24325369197379
BaseRepresentation
bin10001101000000001001…
…001010101011111010000
311021210022121111011101100
4101220001021111133100
5124321014200031000
62324230111304400
7153335444102052
oct21500111253720
94253277434340
101211200002000
1142773790939a
121768a451b100
138a2a5a9a521
144289dbbb8d2
152178d0d4a00
hex11a012557d0

1211200002000 has 240 divisors, whose sum is σ = 4236483401280. Its totient is φ = 322515936000.

The previous prime is 1211200001989. The next prime is 1211200002007. The reversal of 1211200002000 is 2000021121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211200002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12389311 + ... + 12486689.

It is an arithmetic number, because the mean of its divisors is an integer number (17652014172).

Almost surely, 21211200002000 is an apocalyptic number.

1211200002000 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 1211200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118241700640).

1211200002000 is an abundant number, since it is smaller than the sum of its proper divisors (3025283399280).

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

1211200002000 is a wasteful number, since it uses less digits than its factorization.

1211200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98099 (or 98080 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1211200002000 its reverse (2000021121), we get a palindrome (1213200023121).

The spelling of 1211200002000 in words is "one trillion, two hundred eleven billion, two hundred million, two thousand".