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12400531312 = 24132910719213
BaseRepresentation
bin10111000110010000…
…10001011101110000
31012000012210021000111
423203020101131300
5200344014000222
65410254231104
7616203530341
oct134310213560
935005707014
1012400531312
11529385a794
1224a0ab5494
131228130bc0
14858cc00c8
154c89db777
hex2e3211770

12400531312 has 80 divisors (see below), whose sum is σ = 27017958240. Its totient is φ = 5474036736.

The previous prime is 12400531271. The next prime is 12400531327. The reversal of 12400531312 is 21313500421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635818 + ... + 655030.

It is an arithmetic number, because the mean of its divisors is an integer number (337724478).

Almost surely, 212400531312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508979120).

12400531312 is an abundant number, since it is smaller than the sum of its proper divisors (14617426928).

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

12400531312 is a wasteful number, since it uses less digits than its factorization.

12400531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19370 (or 19364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 12400531312 in words is "twelve billion, four hundred million, five hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 107 116 208 214 232 377 428 464 754 856 1391 1508 1712 2782 3016 3103 5564 6032 6206 11128 12412 19213 22256 24824 38426 40339 49648 76852 80678 153704 161356 249769 307408 322712 499538 557177 645424 999076 1114354 1998152 2055791 2228708 3996304 4111582 4457416 7243301 8223164 8914832 14486602 16446328 26725283 28973204 32892656 53450566 57946408 59617939 106901132 115892816 119235878 213802264 238471756 427604528 476943512 775033207 953887024 1550066414 3100132828 6200265656 12400531312