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12013330304 = 27312127769
BaseRepresentation
bin10110011000000110…
…01101111110000000
31011000020012102002102
423030003031332000
5144100403032204
65304023205532
7603462423413
oct131403157600
934006172072
1012013330304
115105236958
1223b32a68a8
131195b51191
1481d6cbb7a
154a4a0541e
hex2cc0cdf80

12013330304 has 96 divisors (see below), whose sum is σ = 24956870400. Its totient is φ = 5759631360.

The previous prime is 12013330291. The next prime is 12013330321. The reversal of 12013330304 is 40303331021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15621632 + ... + 15622400.

It is an arithmetic number, because the mean of its divisors is an integer number (259967400).

Almost surely, 212013330304 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 12013330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478435200).

12013330304 is an abundant number, since it is smaller than the sum of its proper divisors (12943540096).

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

12013330304 is an equidigital number, since it uses as much as digits as its factorization.

12013330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12013330304 its reverse (40303331021), we get a palindrome (52316661325).

The spelling of 12013330304 in words is "twelve billion, thirteen million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 496 508 769 961 992 1016 1538 1922 1984 2032 3076 3844 3937 3968 4064 6152 7688 7874 8128 12304 15376 15748 16256 23839 24608 30752 31496 47678 49216 61504 62992 95356 97663 98432 122047 123008 125984 190712 195326 244094 251968 381424 390652 488188 503936 739009 762848 781304 976376 1478018 1525696 1562608 1952752 2956036 3027553 3051392 3125216 3905504 5912072 6055106 6250432 7811008 11824144 12110212 12500864 15622016 23648288 24220424 47296576 48440848 93854143 94593152 96881696 187708286 193763392 375416572 387526784 750833144 1501666288 3003332576 6006665152 12013330304