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12208788640 = 255731045273
BaseRepresentation
bin10110101111011001…
…10101010010100000
31011111211222201112001
423113230311102200
5200000422214030
65335244413344
7611354663656
oct132754652240
934454881461
1012208788640
1151a55a7674
122448847254
1311c74a81b9
1483b64add6
154b6c63cca
hex2d7b354a0

12208788640 has 48 divisors (see below), whose sum is σ = 29238404328. Its totient is φ = 4816613376.

The previous prime is 12208788611. The next prime is 12208788643. The reversal of 12208788640 is 4688780221.

It is a happy number.

12208788640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10755349264 + 1453439376 = 103708^2 + 38124^2 .

It is not an unprimeable number, because it can be changed into a prime (12208788643) by changing a digit.

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, 510957 + ... + 534316.

Almost surely, 212208788640 is an apocalyptic number.

12208788640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12208788640 is an abundant number, since it is smaller than the sum of its proper divisors (17029615688).

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

12208788640 is a wasteful number, since it uses less digits than its factorization.

12208788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045361 (or 1045353 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 12208788640 in words is "twelve billion, two hundred eight million, seven hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 1045273 2090546 4181092 5226365 8362184 10452730 16724368 20905460 33448736 41810920 76304929 83621840 152609858 167243680 305219716 381524645 610439432 763049290 1220878864 1526098580 2441757728 3052197160 6104394320 12208788640