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12125952 = 283219277
BaseRepresentation
bin101110010000…
…011100000000
3211211001200100
4232100130000
511101012302
61111522400
7205032426
oct56203400
924731610
1012125952
116932453
124089400
132687427
141879116
1510e7d1c
hexb90700

12125952 has 108 divisors (see below), whose sum is σ = 36935080. Its totient is φ = 3815424.

The previous prime is 12125921. The next prime is 12125963. The reversal of 12125952 is 25952121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43638 + ... + 43914.

Almost surely, 212125952 is an apocalyptic number.

12125952 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 12125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467540).

12125952 is an abundant number, since it is smaller than the sum of its proper divisors (24809128).

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

12125952 is a wasteful number, since it uses less digits than its factorization.

12125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 12125952 is about 3482.2337658463. The cubic root of 12125952 is about 229.7410570375.

The spelling of 12125952 in words is "twelve million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 277 288 304 342 384 456 554 576 608 684 768 831 912 1108 1152 1216 1368 1662 1824 2216 2304 2432 2493 2736 3324 3648 4432 4864 4986 5263 5472 6648 7296 8864 9972 10526 10944 13296 14592 15789 17728 19944 21052 21888 26592 31578 35456 39888 42104 43776 47367 53184 63156 70912 79776 84208 94734 106368 126312 159552 168416 189468 212736 252624 319104 336832 378936 505248 638208 673664 757872 1010496 1347328 1515744 2020992 3031488 4041984 6062976 12125952