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12001020330 = 23513251122597
BaseRepresentation
bin10110010110101000…
…10000100110101010
31010222101000222222110
423023110100212222
5144034230122310
65302503303150
7603252663315
oct131324204652
933871028873
1012001020330
1150a9299222
1223ab14aab6
131193431080
1481bc0597c
154a38c2d20
hex2cb5109aa

12001020330 has 64 divisors (see below), whose sum is σ = 31141853568. Its totient is φ = 2942304000.

The previous prime is 12001020319. The next prime is 12001020349. The reversal of 12001020330 is 3302010021.

It is a happy number.

12001020330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120010203302 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36592 + ... + 159188.

It is an arithmetic number, because the mean of its divisors is an integer number (486591462).

Almost surely, 212001020330 is an apocalyptic number.

12001020330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570926784).

12001020330 is an abundant number, since it is smaller than the sum of its proper divisors (19140833238).

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

12001020330 is a wasteful number, since it uses less digits than its factorization.

12001020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122871.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12001020330 its reverse (3302010021), we get a palindrome (15303030351).

The spelling of 12001020330 in words is "twelve billion, one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 251 390 502 753 1255 1506 2510 3263 3765 6526 7530 9789 16315 19578 32630 48945 97890 122597 245194 367791 612985 735582 1225970 1593761 1838955 3187522 3677910 4781283 7968805 9562566 15937610 23906415 30771847 47812830 61543694 92315541 153859235 184631082 307718470 400034011 461577705 800068022 923155410 1200102033 2000170055 2400204066 4000340110 6000510165 12001020330