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12008125946872 = 23111731892909323
BaseRepresentation
bin1010111010111101110000…
…0101001101101111111000
31120111222001221110222022201
42232233130011031233320
53033220120220244442
641312242405155544
72346362361302506
oct256573405155770
946458057428281
1012008125946872
11390a688055a80
12141b3090bbbb4
1369149105c683
142d72a6cad676
1515c55b4e87b7
hexaebdc14dbf8

12008125946872 has 128 divisors (see below), whose sum is σ = 27147484108800. Its totient is φ = 4915590451200.

The previous prime is 12008125946863. The next prime is 12008125946899. The reversal of 12008125946872 is 27864952180021.

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, 2672803 + ... + 5582125.

It is an arithmetic number, because the mean of its divisors is an integer number (212089719600).

Almost surely, 212008125946872 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 12008125946872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573742054400).

12008125946872 is an abundant number, since it is smaller than the sum of its proper divisors (15139358161928).

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

12008125946872 is a wasteful number, since it uses less digits than its factorization.

12008125946872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909477 (or 2909473 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 12008125946872 in words is "twelve trillion, eight billion, one hundred twenty-five million, nine hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 89 124 136 178 187 248 341 356 374 527 682 712 748 979 1054 1364 1496 1513 1958 2108 2728 2759 3026 3916 4216 5518 5797 6052 7832 11036 11594 12104 16643 22072 23188 30349 33286 46376 46903 60698 66572 93806 121396 133144 187612 242792 375224 515933 1031866 2063732 2909323 4127464 5818646 11637292 23274584 32002553 49458491 64005106 90189013 98916982 128010212 180378026 197833964 256020424 258929747 360756052 395667928 517859494 544043401 721512104 992079143 1035718988 1088086802 1533213221 1984158286 2071437976 2176173604 2848227217 3066426442 3968316572 4352347208 4401805699 5696454434 6132852884 7936633144 8026822157 8803611398 11392908868 12265705768 16053644314 16865345431 17607222796 22785817736 32107288628 33730690862 35214445592 48419862689 64214577256 67461381724 88295043727 96839725378 134922763448 136455976669 176590087454 193679450756 272911953338 353180174908 387358901512 545823906676 706360349816 1091647813352 1501015743359 3002031486718 6004062973436 12008125946872