Search a number
-
+
120012221121100 = 225271115586002743
BaseRepresentation
bin11011010010011010000101…
…110011110000001001001100
3120201221001112000222022102021
4123102122011303300021030
5111212240012101333400
61103124504145535524
734164411501043630
oct3322320563601114
9521831460868367
10120012221121100
113526a9961243a0
121156320a0445a4
1351c7147332289
14218c8a01aadc0
15dd1bd750371a
hex6d2685cf024c

120012221121100 has 72 divisors (see below), whose sum is σ = 324687609163008. Its totient is φ = 37406406580800.

The previous prime is 120012221121083. The next prime is 120012221121251. The reversal of 120012221121100 is 1121122210021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7792993672 + ... + 7793009071.

It is an arithmetic number, because the mean of its divisors is an integer number (4509550127264).

Almost surely, 2120012221121100 is an apocalyptic number.

120012221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012221121100 is an abundant number, since it is smaller than the sum of its proper divisors (204675388041908).

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

120012221121100 is a wasteful number, since it uses less digits than its factorization.

120012221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586002775 (or 15586002768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120012221121100 its reverse (1121122210021), we get a palindrome (121133343331121).

The spelling of 120012221121100 in words is "one hundred twenty trillion, twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 15586002743 31172005486 62344010972 77930013715 109102019201 155860027430 171446030173 218204038402 311720054860 342892060346 389650068575 436408076804 545510096005 685784120692 779300137150 857230150865 1091020192010 1200122211211 1558600274300 1714460301730 2182040384020 2400244422422 2727550480025 3428920603460 4286150754325 4800488844844 5455100960050 6000611056055 8572301508650 10910201920100 12001222112110 17144603017300 24002444224220 30003055280275 60006110560550 120012221121100