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12125166440 = 2351794913449
BaseRepresentation
bin10110100101011011…
…10101101101101000
31011022000122021102112
423102231311231220
5144313020311230
65323100221452
7606321133322
oct132255655550
934260567375
1012125166440
115162382012
12242483a888
1311b307a1ca
148304c0612
154ae746d95
hex2d2b75b68

12125166440 has 64 divisors (see below), whose sum is σ = 27497880000. Its totient is φ = 4811752960.

The previous prime is 12125166439. The next prime is 12125166461. The reversal of 12125166440 is 4466152121.

It is a super-2 number, since 2×121251664402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12125166397 and 12125166406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513836 + ... + 3517284.

It is an arithmetic number, because the mean of its divisors is an integer number (429654375).

Almost surely, 212125166440 is an apocalyptic number.

12125166440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12125166440 is an abundant number, since it is smaller than the sum of its proper divisors (15372713560).

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

12125166440 is a wasteful number, since it uses less digits than its factorization.

12125166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 12125166440 in words is "twelve billion, one hundred twenty-five million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 179 358 491 716 895 982 1432 1790 1964 2455 3449 3580 3928 4910 6898 7160 9820 13796 17245 19640 27592 34490 68980 87889 137960 175778 351556 439445 617371 703112 878890 1234742 1693459 1757780 2469484 3086855 3386918 3515560 4938968 6173710 6773836 8467295 12347420 13547672 16934590 24694840 33869180 67738360 303129161 606258322 1212516644 1515645805 2425033288 3031291610 6062583220 12125166440