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12221266408 = 23131719136191
BaseRepresentation
bin10110110000111000…
…11011100111101000
31011112201110122210121
423120130123213220
5200012121011113
65340412053024
7611566023211
oct133034334750
934481418717
1012221266408
11520164a37a
122450a64174
1311c9c567b0
1483d178408
154b7dcae8d
hex2d871b9e8

12221266408 has 64 divisors (see below), whose sum is σ = 26266705920. Its totient is φ = 5280844800.

The previous prime is 12221266403. The next prime is 12221266411. The reversal of 12221266408 is 80466212221.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12221266403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319593 + ... + 355783.

It is an arithmetic number, because the mean of its divisors is an integer number (410417280).

Almost surely, 212221266408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221266408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133352960).

12221266408 is an abundant number, since it is smaller than the sum of its proper divisors (14045439512).

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

12221266408 is a wasteful number, since it uses less digits than its factorization.

12221266408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36418 (or 36414 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 12221266408 its reverse (80466212221), we get a palindrome (92687478629).

The spelling of 12221266408 in words is "twelve billion, two hundred twenty-one million, two hundred sixty-six thousand, four hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 191 221 382 442 764 884 1528 1768 2483 3247 4966 6494 9932 12988 19864 25976 36191 42211 72382 84422 144764 168844 289528 337688 470483 615247 940966 1230494 1881932 2460988 3763864 4921976 6912481 7998211 13824962 15996422 27649924 31992844 55299848 63985688 89862253 117512177 179724506 235024354 359449012 470048708 718898024 940097416 1527658301 3055316602 6110633204 12221266408