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12424024123000 = 235375623315643
BaseRepresentation
bin1011010011001011000110…
…0010110110011001111000
31121222201120121021101000121
42310302301202312121320
53112023400133414000
642231303510343024
72421414620414320
oct264626142663170
947881517241017
1012424024123000
113a5aaa97a6406
121487a3865aa74
136c1771322209
1430d47c69a280
1516829d9c2b1a
hexb4cb18b6678

12424024123000 has 128 divisors (see below), whose sum is σ = 33231404344320. Its totient is φ = 4258894377600.

The previous prime is 12424024122977. The next prime is 12424024123061. The reversal of 12424024123000 is 32142042421.

12424024123000 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39203179 + ... + 39518821.

It is an arithmetic number, because the mean of its divisors is an integer number (259620346440).

Almost surely, 212424024123000 is an apocalyptic number.

12424024123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424024123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615702172160).

12424024123000 is an abundant number, since it is smaller than the sum of its proper divisors (20807380221320).

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

12424024123000 is a wasteful number, since it uses less digits than its factorization.

12424024123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321294 (or 321280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12424024123000 its reverse (32142042421), we get a palindrome (12456166165421).

The spelling of 12424024123000 in words is "twelve trillion, four hundred twenty-four billion, twenty-four million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 5623 7000 11246 22492 28115 39361 44984 56230 78722 112460 140575 157444 196805 224920 281150 314888 315643 393610 562300 631286 702875 787220 984025 1124600 1262572 1405750 1574440 1578215 1968050 2209501 2525144 2811500 3156430 3936100 4419002 4920125 5623000 6312860 7872200 7891075 8838004 9840250 11047505 12625720 15782150 17676008 19680500 22095010 31564300 39361000 39455375 44190020 55237525 63128600 78910750 88380040 110475050 157821500 220950100 276187625 315643000 441900200 552375250 1104750500 1774860589 2209501000 3549721178 7099442356 8874302945 12424024123 14198884712 17748605890 24848048246 35497211780 44371514725 49696096492 62120120615 70994423560 88743029450 99392192984 124240241230 177486058900 221857573625 248480482460 310600603075 354972117800 443715147250 496960964920 621201206150 887430294500 1242402412300 1553003015375 1774860589000 2484804824600 3106006030750 6212012061500 12424024123000