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12253436720 = 245721881137
BaseRepresentation
bin10110110100101110…
…01001101100110000
31011121222000002011122
423122113021230300
5200043334433340
65343521401412
7612436331210
oct133227115460
934558002148
1012253436720
115218822408
12245b799268
13120380b595
14843550240
154bab32db5
hex2da5c9b30

12253436720 has 40 divisors (see below), whose sum is σ = 32559133344. Its totient is φ = 4201178112.

The previous prime is 12253436711. The next prime is 12253436761. The reversal of 12253436720 is 2763435221.

12253436720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×122534367202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10940009 + ... + 10941128.

Almost surely, 212253436720 is an apocalyptic number.

12253436720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12253436720 is an abundant number, since it is smaller than the sum of its proper divisors (20305696624).

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

12253436720 is a wasteful number, since it uses less digits than its factorization.

12253436720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21881157 (or 21881151 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 12253436720 in words is "twelve billion, two hundred fifty-three million, four hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21881137 43762274 87524548 109405685 153167959 175049096 218811370 306335918 350098192 437622740 612671836 765839795 875245480 1225343672 1531679590 1750490960 2450687344 3063359180 6126718360 12253436720