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12082745520 = 2432525576563
BaseRepresentation
bin10110100000011000…
…00001000010110000
31011012001211001212100
423100030001002300
5144221140324040
65314543100400
7605264433216
oct132014010260
934161731770
1012082745520
1151404385aa
1224125a1700
1311a7346781
148289dacb6
154aab67b30
hex2d03010b0

12082745520 has 120 divisors (see below), whose sum is σ = 40599941616. Its totient is φ = 3220314624.

The previous prime is 12082745509. The next prime is 12082745603. The reversal of 12082745520 is 2554728021.

It is a happy number.

12082745520 is a `hidden beast` number, since 1 + 20 + 82 + 7 + 4 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837759 + ... + 1844321.

Almost surely, 212082745520 is an apocalyptic number.

12082745520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12082745520 is an abundant number, since it is smaller than the sum of its proper divisors (28517196096).

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

12082745520 is a wasteful number, since it uses less digits than its factorization.

12082745520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12082745520 in words is "twelve billion, eighty-two million, seven hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2557 5114 6563 7671 10228 12785 13126 15342 19689 20456 23013 25570 26252 30684 32815 38355 39378 40912 46026 51140 52504 59067 61368 65630 76710 78756 92052 98445 102280 105008 115065 118134 122736 131260 153420 157512 184104 196890 204560 230130 236268 262520 295335 306840 315024 368208 393780 460260 472536 525040 590670 613680 787560 920520 945072 1181340 1575120 1841040 2362680 4725360 16781591 33563182 50344773 67126364 83907955 100689546 134252728 151034319 167815910 201379092 251723865 268505456 302068638 335631820 402758184 503447730 604137276 671263640 755171595 805516368 1006895460 1208274552 1342527280 1510343190 2013790920 2416549104 3020686380 4027581840 6041372760 12082745520