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12400300000 = 25551111273
BaseRepresentation
bin10111000110001110…
…11000111111100000
31012000012100111201101
423203013120333200
5200343434100000
65410245244144
7616201545064
oct134307307740
935005314641
1012400300000
115293711a20
1224a0a03654
13122807c82a
14858c5daa4
154c8992e6a
hex2e31d8fe0

12400300000 has 144 divisors (see below), whose sum is σ = 33291400464. Its totient is φ = 4508800000.

The previous prime is 12400299997. The next prime is 12400300039. The reversal of 12400300000 is 300421.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12400300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094364 + ... + 1105636.

It is an arithmetic number, because the mean of its divisors is an integer number (231190281).

Almost surely, 212400300000 is an apocalyptic number.

12400300000 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 12400300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645700232).

12400300000 is an abundant number, since it is smaller than the sum of its proper divisors (20891100464).

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

12400300000 is an equidigital number, since it uses as much as digits as its factorization.

12400300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11319 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12400300000 its reverse (300421), we get a palindrome (12400600421).

The spelling of 12400300000 in words is "twelve billion, four hundred million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 11273 12500 13750 20000 22000 22546 25000 27500 34375 44000 45092 50000 55000 56365 68750 90184 100000 110000 112730 124003 137500 180368 220000 225460 248006 275000 281825 360736 450920 496012 550000 563650 620015 901840 992024 1100000 1127300 1240030 1409125 1803680 1984048 2254600 2480060 2818250 3100075 3968096 4509200 4960120 5636500 6200150 7045625 9018400 9920240 11273000 12400300 14091250 15500375 19840480 22546000 24800600 28182500 31000750 35228125 45092000 49601200 56365000 62001500 70456250 77501875 99202400 112730000 124003000 140912500 155003750 225460000 248006000 281825000 310007500 387509375 496012000 563650000 620015000 775018750 1127300000 1240030000 1550037500 2480060000 3100075000 6200150000 12400300000