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12005078688 = 2536514621
BaseRepresentation
bin10110010111000111…
…01111011010100000
31010222122200012000000
423023203233122200
5144041300004223
65303130300000
7603332325261
oct131343573240
933878605000
1012005078688
115100610339
1223b0587600
131194222375
1481c580968
154a3e25543
hex2cb8ef6a0

12005078688 has 84 divisors (see below), whose sum is σ = 35436356298. Its totient is φ = 4001685120.

The previous prime is 12005078663. The next prime is 12005078713. The reversal of 12005078688 is 88687050021.

It is an interprime number because it is at equal distance from previous prime (12005078663) and next prime (12005078713).

It can be written as a sum of positive squares in only one way, i.e., 10727159184 + 1277919504 = 103572^2 + 35748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 233983 + ... + 280638.

Almost surely, 212005078688 is an apocalyptic number.

12005078688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12005078688 is an abundant number, since it is smaller than the sum of its proper divisors (23431277610).

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

12005078688 is an frugal number, since it uses more digits than its factorization.

12005078688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514649 (or 514626 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12005078688 in words is "twelve billion, five million, seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 514621 1029242 1543863 2058484 3087726 4116968 4631589 6175452 8233936 9263178 12350904 13894767 16467872 18526356 24701808 27789534 37052712 41684301 49403616 55579068 74105424 83368602 111158136 125052903 148210848 166737204 222316272 250105806 333474408 375158709 444632544 500211612 666948816 750317418 1000423224 1333897632 1500634836 2000846448 3001269672 4001692896 6002539344 12005078688