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12345152512 = 210721122367
BaseRepresentation
bin10110111111101010…
…00001010000000000
31011212100120201120211
423133311001100000
5200240324340022
65400555243504
7614632031200
oct133765012000
934770521524
1012345152512
115265575890
122486449594
131219811494
148517c6400
154c3bece77
hex2dfd41400

12345152512 has 132 divisors (see below), whose sum is σ = 31318510464. Its totient is φ = 4809584640.

The previous prime is 12345152483. The next prime is 12345152513. The reversal of 12345152512 is 21525154321.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345152513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540753 + ... + 563119.

Almost surely, 212345152512 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 12345152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659255232).

12345152512 is an abundant number, since it is smaller than the sum of its proper divisors (18973357952).

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

12345152512 is a wasteful number, since it uses less digits than its factorization.

12345152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22412 (or 22387 counting only the distinct ones).

The product of its digits is 12000, while the sum is 31.

The spelling of 12345152512 in words is "twelve billion, three hundred forty-five million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2156 2464 2816 3136 3584 4312 4928 5632 6272 7168 8624 9856 11264 12544 17248 19712 22367 25088 34496 39424 44734 50176 68992 78848 89468 137984 156569 178936 246037 275968 313138 357872 492074 551936 626276 715744 984148 1095983 1252552 1431488 1722259 1968296 2191966 2505104 2862976 3444518 3936592 4383932 5010208 5725952 6889036 7873184 8767864 10020416 11451904 12055813 13778072 15746368 17535728 20040832 22903808 24111626 27556144 31492736 35071456 40081664 48223252 55112288 62985472 70142912 80163328 96446504 110224576 125970944 140285824 160326656 192893008 220449152 251941888 280571648 385786016 440898304 561143296 771572032 881796608 1122286592 1543144064 1763593216 3086288128 6172576256 12345152512