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12340211220 = 2233522852243
BaseRepresentation
bin10110111111000100…
…01010111000010100
31011212000021200102000
423133202022320110
5200233043224340
65400301315300
7614542031121
oct133742127024
934760250360
1012340211220
115262800377
122484865b30
1312187a133c
14850c9b748
154c3573d30
hex2df88ae14

12340211220 has 48 divisors (see below), whose sum is σ = 38391769920. Its totient is φ = 3290722848.

The previous prime is 12340211207. The next prime is 12340211231. The reversal of 12340211220 is 2211204321.

It is a happy number.

12340211220 is a `hidden beast` number, since 1 + 234 + 0 + 211 + 220 = 666.

12340211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12340211193 and 12340211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11425582 + ... + 11426661.

It is an arithmetic number, because the mean of its divisors is an integer number (799828540).

Almost surely, 212340211220 is an apocalyptic number.

12340211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340211220 is an abundant number, since it is smaller than the sum of its proper divisors (26051558700).

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

12340211220 is a wasteful number, since it uses less digits than its factorization.

12340211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22852261 (or 22852253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12340211220 its reverse (2211204321), we get a palindrome (14551415541).

The spelling of 12340211220 in words is "twelve billion, three hundred forty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22852243 45704486 68556729 91408972 114261215 137113458 205670187 228522430 274226916 342783645 411340374 457044860 617010561 685567290 822680748 1028350935 1234021122 1371134580 2056701870 2468042244 3085052805 4113403740 6170105610 12340211220