Search a number
-
+
121121200002 = 231137101491081
BaseRepresentation
bin111000011001101100…
…0101101011110000010
3102120122010220110202110
41300303120231132002
53441024011400002
6131350423400150
711515332133035
oct1606330553602
9376563813673
10121121200002
114740483a2a0
121b5832b3056
13b56357b71a
145c1020301c
15323d627e6c
hex1c3362d782

121121200002 has 64 divisors (see below), whose sum is σ = 274094471808. Its totient is φ = 35357760000.

The previous prime is 121121199989. The next prime is 121121200037. The reversal of 121121200002 is 200002121121.

121121200002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102 + ... + 492182.

It is an arithmetic number, because the mean of its divisors is an integer number (4282726122).

Almost surely, 2121121200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137047235904).

121121200002 is an abundant number, since it is smaller than the sum of its proper divisors (152973271806).

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

121121200002 is a wasteful number, since it uses less digits than its factorization.

121121200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491235.

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

Adding to 121121200002 its reverse (200002121121), we get a palindrome (321123321123).

It can be divided in two parts, 121121 and 200002, that multiplied together give a palindrome (24224442242).

The spelling of 121121200002 in words is "one hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 202 222 303 407 606 814 1111 1221 2222 2442 3333 3737 6666 7474 11211 22422 41107 82214 123321 246642 491081 982162 1473243 2946486 5401891 10803782 16205673 18169997 32411346 36339994 49599181 54509991 99198362 109019982 148797543 199869967 297595086 399739934 545590991 599609901 1091181982 1199219802 1636772973 1835169697 3273545946 3670339394 5505509091 11011018182 20186866667 40373733334 60560600001 121121200002