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12456006260200 = 2352173663531253
BaseRepresentation
bin1011010101000010001111…
…0101000001010111101000
31122002210010111022021110121
42311100203311001113220
53113034400100311300
642254113230453024
72423626306166656
oct265204365012750
948083114267417
1012456006260200
113a72620896458
121492083364174
136c479a248c59
14310c3406ddd6
1516902163181a
hexb5423d415e8

12456006260200 has 48 divisors (see below), whose sum is σ = 30663756595980. Its totient is φ = 4689320002560.

The previous prime is 12456006260153. The next prime is 12456006260209. The reversal of 12456006260200 is 206260065421.

It can be written as a sum of positive squares in 6 ways, for example, as 1993252654276 + 10462753605924 = 1411826^2 + 3234618^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12456006260209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831762227 + ... + 1831769026.

Almost surely, 212456006260200 is an apocalyptic number.

12456006260200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12456006260200 is an abundant number, since it is smaller than the sum of its proper divisors (18207750335780).

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

12456006260200 is a wasteful number, since it uses less digits than its factorization.

12456006260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663531286 (or 3663531277 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 12456006260200 in words is "twelve trillion, four hundred fifty-six billion, six million, two hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3663531253 7327062506 14654125012 18317656265 29308250024 36635312530 62280031301 73270625060 91588281325 124560062602 146541250120 183176562650 249120125204 311400156505 366353125300 498240250408 622800313010 732706250600 1245600626020 1557000782525 2491201252040 3114001565050 6228003130100 12456006260200