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12220420344 = 23311461100411
BaseRepresentation
bin10110110000110010…
…01101000011111000
31011112122212200012220
423120121031003320
5200011411422334
65340342004040
7611555600436
oct133031150370
934478780186
1012220420344
115201121750
122450716620
1311c9a1b672
1483cdd7d56
154b7cb0449
hex2d864d0f8

12220420344 has 64 divisors (see below), whose sum is σ = 33401047680. Its totient is φ = 3695088000.

The previous prime is 12220420343. The next prime is 12220420351. The reversal of 12220420344 is 44302402221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220420343) 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, 71499 + ... + 171909.

It is an arithmetic number, because the mean of its divisors is an integer number (521891370).

Almost surely, 212220420344 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 12220420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700523840).

12220420344 is an abundant number, since it is smaller than the sum of its proper divisors (21180627336).

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

12220420344 is a wasteful number, since it uses less digits than its factorization.

12220420344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100892 (or 100888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12220420344 its reverse (44302402221), we get a palindrome (56522822565).

The spelling of 12220420344 in words is "twelve billion, two hundred twenty million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 461 922 1383 1844 2766 3688 5071 5532 10142 11064 15213 20284 30426 40568 60852 100411 121704 200822 301233 401644 602466 803288 1104521 1204932 2209042 2409864 3313563 4418084 6627126 8836168 13254252 26508504 46289471 92578942 138868413 185157884 277736826 370315768 509184181 555473652 1018368362 1110947304 1527552543 2036736724 3055105086 4073473448 6110210172 12220420344