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12400000212 = 2232361799323
BaseRepresentation
bin10111000110001100…
…01111110011010100
31012000011210021111010
423203012033303110
5200343400001322
65410235012220
7616166156055
oct134306176324
935004707433
1012400000212
115293527766
1224a089a070
131227ca6242
14858bc272c
154c893420c
hex2e318fcd4

12400000212 has 96 divisors (see below), whose sum is σ = 31078010880. Its totient is φ = 3839172480.

The previous prime is 12400000187. The next prime is 12400000247. The reversal of 12400000212 is 21200000421.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1325383 + ... + 1334705.

It is an arithmetic number, because the mean of its divisors is an integer number (323729280).

Almost surely, 212400000212 is an apocalyptic number.

12400000212 is a gapful number since it is divisible by the number (12) 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 12400000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539005440).

12400000212 is an abundant number, since it is smaller than the sum of its proper divisors (18678010668).

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

12400000212 is a wasteful number, since it uses less digits than its factorization.

12400000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12400000212 its reverse (21200000421), we get a palindrome (33600000633).

The spelling of 12400000212 in words is "twelve billion, four hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 61 69 79 92 122 138 158 183 237 244 276 316 366 474 732 948 1403 1817 2806 3634 4209 4819 5451 5612 7268 8418 9323 9638 10902 14457 16836 18646 19276 21804 27969 28914 37292 55938 57828 110837 111876 214429 221674 332511 428858 443348 568703 643287 665022 736517 857716 1137406 1286574 1330044 1473034 1706109 2209551 2274812 2573148 2946068 3412218 4419102 6824436 8838204 13080169 16939891 26160338 33879782 39240507 44927537 50819673 52320676 67759564 78481014 89855074 101639346 134782611 156962028 179710148 203278692 269565222 539130444 1033333351 2066666702 3100000053 4133333404 6200000106 12400000212