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12113215120 = 2451182112809
BaseRepresentation
bin10110100100000000…
…01111111010010000
31011021012011002022001
423102000033322100
5144301440340440
65321552123344
7606114425656
oct132200177220
934235132261
1012113215120
115156659896
122420836554
1311b0754416
1482ca8cdd6
154ad685b9a
hex2d200fe90

12113215120 has 40 divisors (see below), whose sum is σ = 28167806520. Its totient is φ = 4844497920.

The previous prime is 12113215109. The next prime is 12113215157. The reversal of 12113215120 is 2151231121.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 12106160784 = 2656^2 + 110028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×121132151202 (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 7 ways as a sum of consecutive naturals, for example, 939276 + ... + 952084.

It is an arithmetic number, because the mean of its divisors is an integer number (704195163).

Almost surely, 212113215120 is an apocalyptic number.

12113215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113215120 is an abundant number, since it is smaller than the sum of its proper divisors (16054591400).

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

12113215120 is a wasteful number, since it uses less digits than its factorization.

12113215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24643 (or 24637 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 12113215120 its reverse (2151231121), we get a palindrome (14264446241).

The spelling of 12113215120 in words is "twelve billion, one hundred thirteen million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11821 12809 23642 25618 47284 51236 59105 64045 94568 102472 118210 128090 189136 204944 236420 256180 472840 512360 945680 1024720 151415189 302830378 605660756 757075945 1211321512 1514151890 2422643024 3028303780 6056607560 12113215120