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1201000200 = 2335223293001
BaseRepresentation
bin100011110010101…
…1100111100001000
310002200220010112220
41013211130330020
54424424001300
6315101334040
741522222211
oct10745347410
93080803486
101201000200
11566a2a254
12296267320
13161a8480a
14b5710408
1570686da0
hex4795cf08

1201000200 has 192 divisors, whose sum is σ = 4020278400. Its totient is φ = 295680000.

The previous prime is 1201000189. The next prime is 1201000201. The reversal of 1201000200 is 20001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1201000201) 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, 398700 + ... + 401700.

It is an arithmetic number, because the mean of its divisors is an integer number (20938950).

Almost surely, 21201000200 is an apocalyptic number.

1201000200 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 1201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010139200).

1201000200 is an abundant number, since it is smaller than the sum of its proper divisors (2819278200).

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

1201000200 is a wasteful number, since it uses less digits than its factorization.

1201000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1201000200 is about 34655.4497878761. The cubic root of 1201000200 is about 1062.9537291650.

Adding to 1201000200 its reverse (20001021), we get a palindrome (1221001221).

The spelling of 1201000200 in words is "one billion, two hundred one million, two hundred", and thus it is an aban number.