Search a number
-
+
2121221012000 = 2553530305253
BaseRepresentation
bin11110110111100010100…
…111111111101000100000
321111210020112120022001012
4132313202213333220200
5234223230034341000
64302250412000052
7306152556051146
oct36674247775040
97453215508035
102121221012000
11748671a63332
122a3134760028
131250516bbb3c
147494c035596
153a2a026e735
hex1ede29ffa20

2121221012000 has 48 divisors (see below), whose sum is σ = 5211840036312. Its totient is φ = 848488403200.

The previous prime is 2121221011969. The next prime is 2121221012023. The reversal of 2121221012000 is 2101221212.

It can be written as a sum of positive squares in 4 ways, for example, as 176880807184 + 1944340204816 = 420572^2 + 1394396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265148627 + ... + 265156626.

Almost surely, 22121221012000 is an apocalyptic number.

2121221012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121221012000 is an abundant number, since it is smaller than the sum of its proper divisors (3090619024312).

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

2121221012000 is an equidigital number, since it uses as much as digits as its factorization.

2121221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530305278 (or 530305260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121221012000 its reverse (2101221212), we get a palindrome (2123322233212).

The spelling of 2121221012000 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 530305253 1060610506 2121221012 2651526265 4242442024 5303052530 8484884048 10606105060 13257631325 16969768096 21212210120 26515262650 42424420240 53030525300 66288156625 84848840480 106061050600 132576313250 212122101200 265152626500 424244202400 530305253000 1060610506000 2121221012000