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12421211022 = 23211376312687
BaseRepresentation
bin10111001000101110…
…01010001110001110
31012001122200220020200
423210113022032032
5200414312223042
65412313354330
7616544360133
oct134427121616
935048626220
1012421211022
1152a44a4760
1224a7a089a6
13122c4c180c
1485b94458a
154ca723c4c
hex2e45ca38e

12421211022 has 96 divisors (see below), whose sum is σ = 30211743744. Its totient is φ = 3655108800.

The previous prime is 12421211021. The next prime is 12421211029. The reversal of 12421211022 is 22011212421.

12421211022 is a `hidden beast` number, since 12 + 421 + 211 + 0 + 22 = 666.

12421211022 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 = 12421210986 and 12421211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421211021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4621363 + ... + 4624049.

It is an arithmetic number, because the mean of its divisors is an integer number (314705664).

Almost surely, 212421211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105871872).

12421211022 is an abundant number, since it is smaller than the sum of its proper divisors (17790532722).

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

12421211022 is a wasteful number, since it uses less digits than its factorization.

12421211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12421211022 its reverse (22011212421), we get a palindrome (34432423443).

The spelling of 12421211022 in words is "twelve billion, four hundred twenty-one million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 631 666 814 1221 1262 1893 2442 2687 3663 3786 5374 5679 6941 7326 8061 11358 13882 16122 20823 23347 24183 29557 41646 46694 48366 59114 62469 70041 88671 99419 124938 140082 177342 198838 210123 256817 266013 298257 420246 513634 532026 596514 770451 894771 1093609 1540902 1695497 1789542 2187218 2311353 3280827 3390994 4622706 5086491 6561654 9842481 10172982 15259473 18650467 19684962 30518946 37300934 55951401 62733389 111902802 125466778 167854203 188200167 335708406 376400334 564600501 690067279 1129201002 1380134558 2070201837 4140403674 6210605511 12421211022