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12252355320 = 2335346129501
BaseRepresentation
bin10110110100100110…
…00001101011111000
31011121212222010202210
423122103001223320
5200043100332240
65343442255120
7612424205352
oct133223015370
934555863683
1012252355320
115218153997
12245b3574a0
1312035202ba
1484334c0d2
154ba9bc780
hex2da4c1af8

12252355320 has 64 divisors (see below), whose sum is σ = 36768932640. Its totient is φ = 3266240000.

The previous prime is 12252355307. The next prime is 12252355327. The reversal of 12252355320 is 2355325221.

12252355320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252355327) 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 15 ways as a sum of consecutive naturals, for example, 400570 + ... + 430070.

Almost surely, 212252355320 is an apocalyptic number.

12252355320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252355320 is an abundant number, since it is smaller than the sum of its proper divisors (24516577320).

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

12252355320 is a wasteful number, since it uses less digits than its factorization.

12252355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32976 (or 32972 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 12252355320 in words is "twelve billion, two hundred fifty-two million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3461 6922 10383 13844 17305 20766 27688 29501 34610 41532 51915 59002 69220 83064 88503 103830 118004 138440 147505 177006 207660 236008 295010 354012 415320 442515 590020 708024 885030 1180040 1770060 3540120 102102961 204205922 306308883 408411844 510514805 612617766 816823688 1021029610 1225235532 1531544415 2042059220 2450471064 3063088830 4084118440 6126177660 12252355320