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12251414115030 = 2356738375121191
BaseRepresentation
bin1011001001001000000100…
…1011111011001011010110
31121101020001010002110001110
42302102001023323023112
53101211344003140110
642020115535035450
72403064314513426
oct262220113731326
947336033073043
1012251414115030
1139a3882968662
12145a4a596bb86
136ab3c372cb1c
14304d86138486
15163a49e6ba20
hexb24812fb2d6

12251414115030 has 128 divisors (see below), whose sum is σ = 29961421848576. Its totient is φ = 3205453680000.

The previous prime is 12251414114969. The next prime is 12251414115053. The reversal of 12251414115030 is 3051141415221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578131735 + ... + 578152925.

It is an arithmetic number, because the mean of its divisors is an integer number (234073608192).

Almost surely, 212251414115030 is an apocalyptic number.

12251414115030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251414115030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980710924288).

12251414115030 is an abundant number, since it is smaller than the sum of its proper divisors (17710007733546).

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

12251414115030 is a wasteful number, since it uses less digits than its factorization.

12251414115030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22402.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 12251414115030 in words is "twelve trillion, two hundred fifty-one billion, four hundred fourteen million, one hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 383 402 670 751 766 1005 1149 1502 1915 2010 2253 2298 3755 3830 4506 5745 7510 11265 11490 21191 22530 25661 42382 50317 51322 63573 76983 100634 105955 127146 128305 150951 153966 211910 251585 256610 287633 301902 317865 384915 503170 575266 635730 754755 769830 862899 1419797 1438165 1509510 1725798 2839594 2876330 4259391 4314495 7098985 8116153 8518782 8628990 14197970 15914441 16232306 19271411 21296955 24348459 31828882 38542822 40580765 42593910 47743323 48696918 57814233 79572205 81161530 95486646 96357055 115628466 121742295 159144410 192714110 238716615 243484590 289071165 477433230 543782251 578142330 1066267547 1087564502 1631346753 2132535094 2718911255 3198802641 3262693506 5331337735 5437822510 6095230903 6397605282 8156733765 10662675470 12190461806 15994013205 16313467530 18285692709 30476154515 31988026410 36571385418 60952309030 91428463545 182856927090 408380470501 816760941002 1225141411503 2041902352505 2450282823006 4083804705010 6125707057515 12251414115030