Search a number
-
+
121211211000200 = 2352884968488649
BaseRepresentation
bin11011100011110110101111…
…001011001010100110001000
3120220011200022200221222000112
4123203312233023022212020
5111341411030004001300
61105443354524053452
734350135542624036
oct3343665713124610
9526150280858015
10121211211000200
1135692427704722
1211717665394288
1352832255781b9
1421d09224b1556
15e02ead6ade35
hex6e3daf2ca988

121211211000200 has 48 divisors (see below), whose sum is σ = 281847916912500. Its totient is φ = 48479004600320.

The previous prime is 121211211000157. The next prime is 121211211000221. The reversal of 121211211000200 is 2000112112121.

It can be written as a sum of positive squares in 6 ways, for example, as 26310764877604 + 94900446122596 = 5129402^2 + 9741686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32474525 + ... + 36014124.

Almost surely, 2121211211000200 is an apocalyptic number.

121211211000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211211000200 is an abundant number, since it is smaller than the sum of its proper divisors (160636705912300).

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

121211211000200 is a wasteful number, since it uses less digits than its factorization.

121211211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68497514 (or 68497505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121211211000200 its reverse (2000112112121), we get a palindrome (123211323112321).

The spelling of 121211211000200 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8849 17698 35396 44245 70792 88490 176980 221225 353960 442450 884900 1769800 68488649 136977298 273954596 342443245 547909192 684886490 1369772980 1712216225 2739545960 3424432450 6848864900 13697729800 606056055001 1212112110002 2424224220004 3030280275005 4848448440008 6060560550010 12121121100020 15151401375025 24242242200040 30302802750050 60605605500100 121211211000200