Search a number
-
+
121221101211100 = 225211110201001101
BaseRepresentation
bin11011100011111111111100…
…101011010100110111011100
3120220012121211222010201210221
4123203333330223110313130
5111342041303402223400
61105452112145411124
734350635615213122
oct3343777453246734
9526177758121727
10121221101211100
1135696642451540
1211719565639aa4
1352841405a52b7
1421d11bdc15912
15e0338bad1c1a
hex6e3ffcad4ddc

121221101211100 has 36 divisors (see below), whose sum is σ = 286963406869608. Its totient is φ = 44080400440000.

The previous prime is 121221101211053. The next prime is 121221101211227. The reversal of 121221101211100 is 1112101122121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55100499451 + ... + 55100501650.

It is an arithmetic number, because the mean of its divisors is an integer number (7971205746378).

Almost surely, 2121221101211100 is an apocalyptic number.

121221101211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221101211100 is an abundant number, since it is smaller than the sum of its proper divisors (165742305658508).

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

121221101211100 is a wasteful number, since it uses less digits than its factorization.

121221101211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110201001126 (or 110201001119 counting only the distinct ones).

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

Adding to 121221101211100 its reverse (1112101122121), we get a palindrome (122333202333221).

The spelling of 121221101211100 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 110201001101 220402002202 440804004404 551005005505 1102010011010 1212211012111 2204020022020 2424422024222 2755025027525 4848844048444 5510050055050 6061055060555 11020100110100 12122110121110 24244220242220 30305275302775 60610550605550 121221101211100