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12445011120 = 2435232254531
BaseRepresentation
bin10111001011100011…
…11100110010110000
31012010022111001211210
423211301330302300
5200441410323440
65414523440120
7620253564153
oct134561746260
935108431753
1012445011120
115306980063
1224b3986040
131234405809
14860b7bc9a
154cc875a80
hex2e5c7ccb0

12445011120 has 80 divisors (see below), whose sum is σ = 40256923392. Its totient is φ = 3174378240.

The previous prime is 12445011107. The next prime is 12445011121. The reversal of 12445011120 is 2111054421.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12445011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121746 + ... + 1132785.

Almost surely, 212445011120 is an apocalyptic number.

12445011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12445011120 is an abundant number, since it is smaller than the sum of its proper divisors (27811912272).

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

12445011120 is a wasteful number, since it uses less digits than its factorization.

12445011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254570 (or 2254564 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 12445011120 its reverse (2111054421), we get a palindrome (14556065541).

The spelling of 12445011120 in words is "twelve billion, four hundred forty-five million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 2254531 4509062 6763593 9018124 11272655 13527186 18036248 22545310 27054372 33817965 36072496 45090620 51854213 54108744 67635930 90181240 103708426 108217488 135271860 155562639 180362480 207416852 259271065 270543720 311125278 414833704 518542130 541087440 622250556 777813195 829667408 1037084260 1244501112 1555626390 2074168520 2489002224 3111252780 4148337040 6222505560 12445011120