Search a number
-
+
12212122110120 = 2332533922561417
BaseRepresentation
bin1011000110110101101100…
…1100110100100010101000
31121020110121210020210020100
42301231123030310202220
53100040411230010440
641550101011025400
72400203525133312
oct261553314644250
947213553223210
1012212122110120
11398914a61a829
12145295ab9b260
136a77a1258a8a
143030d99c67b2
151629ea6d6230
hexb1b5b3348a8

12212122110120 has 48 divisors (see below), whose sum is σ = 39689396859060. Its totient is φ = 3256565895936.

The previous prime is 12212122110119. The next prime is 12212122110157. The reversal of 12212122110120 is 2101122121221.

12212122110120 is a `hidden beast` number, since 1 + 221 + 212 + 2 + 110 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12211376492484 + 745617636 = 3494478^2 + 27306^2 .

It is a super-2 number, since 2×122121221101202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12212122110093 and 12212122110102.

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, 16961280349 + ... + 16961281068.

Almost surely, 212212122110120 is an apocalyptic number.

12212122110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212122110120 is an abundant number, since it is smaller than the sum of its proper divisors (27477274748940).

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

12212122110120 is a wasteful number, since it uses less digits than its factorization.

12212122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33922561434 (or 33922561427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212122110120 its reverse (2101122121221), we get a palindrome (14313244231341).

The spelling of 12212122110120 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33922561417 67845122834 101767684251 135690245668 169612807085 203535368502 271380491336 305303052753 339225614170 407070737004 508838421255 610606105506 678451228340 814141474008 1017676842510 1221212211012 1356902456680 1526515263765 2035353685020 2442424422024 3053030527530 4070707370040 6106061055060 12212122110120