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12130001004 = 223112317472287
BaseRepresentation
bin10110100110000000…
…10010000001101100
31011022100201220012110
423103000102001230
5144320240013004
65323352004020
7606410210262
oct132300220154
934270656173
1012130001004
115165084320
122426390610
1311b40808b4
14830dbc432
154aed9e589
hex2d301206c

12130001004 has 96 divisors (see below), whose sum is σ = 32251355136. Its totient is φ = 3512393280.

The previous prime is 12130000991. The next prime is 12130001011. The reversal of 12130001004 is 40010003121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5302749 + ... + 5305035.

It is an arithmetic number, because the mean of its divisors is an integer number (335951616).

Almost surely, 212130001004 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 12130001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125677568).

12130001004 is an abundant number, since it is smaller than the sum of its proper divisors (20121354132).

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

12130001004 is a wasteful number, since it uses less digits than its factorization.

12130001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12130001004 its reverse (40010003121), we get a palindrome (52140004125).

The spelling of 12130001004 in words is "twelve billion, one hundred thirty million, one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 1747 2287 3036 3494 4574 5241 6861 6988 9148 10482 13722 19217 20964 25157 27444 38434 40181 50314 52601 57651 75471 76868 80362 100628 105202 115302 120543 150942 157803 160724 210404 230604 241086 301884 315606 441991 482172 578611 631212 883982 1157222 1325973 1735833 1767964 2314444 2651946 3471666 3995389 5303892 6943332 7990778 11986167 15981556 23972334 43949279 47944668 87898558 91893947 131847837 175797116 183787894 263695674 275681841 367575788 527391348 551363682 1010833417 1102727364 2021666834 3032500251 4043333668 6065000502 12130001004