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12204021024 = 25321319171559
BaseRepresentation
bin10110101110110101…
…01001010100100000
31011111112000111120200
423113122221110200
5144443212133044
65334554305200
7611266316136
oct132732512440
934445014520
1012204021024
1151a2940698
122447128200
1311c64c9120
1483ab69756
154b6621369
hex2d76a9520

12204021024 has 144 divisors (see below), whose sum is σ = 39342139200. Its totient is φ = 3557426688.

The previous prime is 12204021017. The next prime is 12204021029. The reversal of 12204021024 is 42012040221.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12204020988 and 12204021006.

It is not an unprimeable number, because it can be changed into a prime (12204021029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14644 + ... + 156915.

It is an arithmetic number, because the mean of its divisors is an integer number (273209300).

Almost surely, 212204021024 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 12204021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671069600).

12204021024 is an abundant number, since it is smaller than the sum of its proper divisors (27138118176).

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

12204021024 is a wasteful number, since it uses less digits than its factorization.

12204021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171607 (or 171596 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12204021024 its reverse (42012040221), we get a palindrome (54216061245).

The spelling of 12204021024 in words is "twelve billion, two hundred four million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 171559 343118 514677 686236 1029354 1372472 1544031 2058708 2230267 2744944 3088062 3259621 4117416 4460534 5489888 6176124 6519242 6690801 8234832 8921068 9778863 12352248 13038484 13381602 16469664 17842136 19557726 20072403 24704496 26076968 26763204 29336589 35684272 39115452 40144806 42375073 49408992 52153936 53526408 58673178 71368544 78230904 80289612 84750146 104307872 107052816 117346356 127125219 156461808 160579224 169500292 214105632 234692712 254250438 312923616 321158448 339000584 381375657 469385424 508500876 642316896 678001168 762751314 938770848 1017001752 1356002336 1525502628 2034003504 3051005256 4068007008 6102010512 12204021024