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12400240000 = 2754155003
BaseRepresentation
bin10111000110001110…
…01010010110000000
31012000012020110102011
423203013022112000
5200343430140000
65410244102304
7616201205131
oct134307122600
935005213364
1012400240000
115293680935
1224a0994994
13122805b425
14858c45c88
154c89802ba
hex2e31ca580

12400240000 has 80 divisors (see below), whose sum is σ = 30869821620. Its totient is φ = 4960064000.

The previous prime is 12400239991. The next prime is 12400240001. The reversal of 12400240000 is 4200421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400240001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2499 + ... + 157501.

Almost surely, 212400240000 is an apocalyptic number.

12400240000 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 12400240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434910810).

12400240000 is an abundant number, since it is smaller than the sum of its proper divisors (18469581620).

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

12400240000 is an frugal number, since it uses more digits than its factorization.

12400240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155037 (or 155010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12400240000 its reverse (4200421), we get a palindrome (12404440421).

The spelling of 12400240000 in words is "twelve billion, four hundred million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 155003 310006 620012 775015 1240024 1550030 2480048 3100060 3875075 4960096 6200120 7750150 9920192 12400240 15500300 19375375 19840384 24800480 31000600 38750750 49600960 62001200 77501500 96876875 99201920 124002400 155003000 193753750 248004800 310006000 387507500 496009600 620012000 775015000 1240024000 1550030000 2480048000 3100060000 6200120000 12400240000